7680056440 has 64 divisors (see below), whose sum is σ = 19775554560. Its totient is φ = 2629584000.

The previous prime is 7680056437. The next prime is 7680056453. The reversal of 7680056440 is 446500867.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7680056393 and 7680056402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192019 + ... + 228541.

It is an arithmetic number, because the mean of its divisors is an integer number (308993040).

Almost surely, 2^7680056440 is an apocalyptic number.

7680056440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7680056440 is an abundant number, since it is smaller than the sum of its proper divisors (12095498120).

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

7680056440 is a wasteful number, since it uses less digits than its factorization.

7680056440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37292 (or 37288 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 7680056440 is about 87635.9312154552. The cubic root of 7680056440 is about 1972.9744925431.

The spelling of 7680056440 in words is "seven billion, six hundred eighty million, fifty-six thousand, four hundred forty".