7975668240 has 280 divisors, whose sum is σ = 28006332480. Its totient is φ = 2111277312.

The previous prime is 7975668223. The next prime is 7975668257. The reversal of 7975668240 is 428665797.

7975668240 is a `hidden beast` number, since 79 + 7 + 566 + 8 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7975668223) and next prime (7975668257).

It is a super-2 number, since 2×7975668240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9505741 + ... + 9506579.

It is an arithmetic number, because the mean of its divisors is an integer number (100022616).

Almost surely, 2^7975668240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7975668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003166240).

7975668240 is an abundant number, since it is smaller than the sum of its proper divisors (20030664240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7975668240 is a wasteful number, since it uses less digits than its factorization.

7975668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7975668240 is about 89306.5968448020. The cubic root of 7975668240 is about 1997.9702941773.

The spelling of 7975668240 in words is "seven billion, nine hundred seventy-five million, six hundred sixty-eight thousand, two hundred forty".