6272496972 has 216 divisors, whose sum is σ = 19084665600. Its totient is φ = 1701051840.

The previous prime is 6272496931. The next prime is 6272496973. The reversal of 6272496972 is 2796942726.

6272496972 is a `hidden beast` number, since 62 + 7 + 2 + 496 + 97 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6272496973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14287929 + ... + 14288367.

Almost surely, 2^6272496972 is an apocalyptic number.

6272496972 is a gapful number since it is divisible by the number (62) 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 6272496972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9542332800).

6272496972 is an abundant number, since it is smaller than the sum of its proper divisors (12812168628).

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

6272496972 is a wasteful number, since it uses less digits than its factorization.

6272496972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 541 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 6272496972 is about 79199.0970403072. The cubic root of 6272496972 is about 1844.2232242475.

The spelling of 6272496972 in words is "six billion, two hundred seventy-two million, four hundred ninety-six thousand, nine hundred seventy-two".