7692721680 has 640 divisors, whose sum is σ = 30855168000. Its totient is φ = 1576329216.

The previous prime is 7692721669. The next prime is 7692721693. The reversal of 7692721680 is 861272967.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32187001 + ... + 32187239.

It is an arithmetic number, because the mean of its divisors is an integer number (48211200).

Almost surely, 2^7692721680 is an apocalyptic number.

7692721680 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 7692721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584000).

7692721680 is an abundant number, since it is smaller than the sum of its proper divisors (23162446320).

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

7692721680 is a wasteful number, since it uses less digits than its factorization.

7692721680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 7692721680 is about 87708.1619919150. The cubic root of 7692721680 is about 1974.0584460337.

The spelling of 7692721680 in words is "seven billion, six hundred ninety-two million, seven hundred twenty-one thousand, six hundred eighty".