7640796672 has 240 divisors, whose sum is σ = 23057274240. Its totient is φ = 2433024000.

The previous prime is 7640796643. The next prime is 7640796677. The reversal of 7640796672 is 2766970467.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640796677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12713172 + ... + 12713772.

It is an arithmetic number, because the mean of its divisors is an integer number (96071976).

Almost surely, 2^7640796672 is an apocalyptic number.

7640796672 is a gapful number since it is divisible by the number (72) 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 7640796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11528637120).

7640796672 is an abundant number, since it is smaller than the sum of its proper divisors (15416477568).

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

7640796672 is a wasteful number, since it uses less digits than its factorization.

7640796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 7640796672 is about 87411.6506651144. The cubic root of 7640796672 is about 1969.6068573960.

The spelling of 7640796672 in words is "seven billion, six hundred forty million, seven hundred ninety-six thousand, six hundred seventy-two".