7649991972 has 192 divisors, whose sum is σ = 23059008000. Its totient is φ = 2148249600.

The previous prime is 7649991971. The next prime is 7649991977. The reversal of 7649991972 is 2791999467.

7649991972 is a `hidden beast` number, since 76 + 499 + 9 + 1 + 9 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (7649991971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12728472 + ... + 12729072.

It is an arithmetic number, because the mean of its divisors is an integer number (120099000).

Almost surely, 2^7649991972 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 7649991972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11529504000).

7649991972 is an abundant number, since it is smaller than the sum of its proper divisors (15409016028).

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

7649991972 is a wasteful number, since it uses less digits than its factorization.

7649991972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The square root of 7649991972 is about 87464.2325296461. The cubic root of 7649991972 is about 1970.3966470083.

The spelling of 7649991972 in words is "seven billion, six hundred forty-nine million, nine hundred ninety-one thousand, nine hundred seventy-two".