7540666420 has 192 divisors, whose sum is σ = 20014848000. Its totient is φ = 2327947776.

The previous prime is 7540666381. The next prime is 7540666423. The reversal of 7540666420 is 246660457.

It is a super-4 number, since 4×7540666420⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540666423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5167651 + ... + 5169109.

It is an arithmetic number, because the mean of its divisors is an integer number (104244000).

Almost surely, 2^7540666420 is an apocalyptic number.

7540666420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7540666420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007424000).

7540666420 is an abundant number, since it is smaller than the sum of its proper divisors (12474181580).

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

7540666420 is a wasteful number, since it uses less digits than its factorization.

7540666420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 7540666420 is about 86837.0106578986. The cubic root of 7540666420 is about 1960.9653043908.

The spelling of 7540666420 in words is "seven billion, five hundred forty million, six hundred sixty-six thousand, four hundred twenty".