7672637771040 has 192 divisors, whose sum is σ = 26384845132800. Its totient is φ = 1858702064640.

The previous prime is 7672637771023. The next prime is 7672637771093. The reversal of 7672637771040 is 401777362767.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6867367 + ... + 7906073.

It is an arithmetic number, because the mean of its divisors is an integer number (137421068400).

Almost surely, 2^{7672637771040} 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 7672637771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192422566400).

7672637771040 is an abundant number, since it is smaller than the sum of its proper divisors (18712207361760).

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

7672637771040 is a wasteful number, since it uses less digits than its factorization.

7672637771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040135 (or 1040127 counting only the distinct ones).

The product of its (nonzero) digits is 14521248, while the sum is 57.

The spelling of 7672637771040 in words is "seven trillion, six hundred seventy-two billion, six hundred thirty-seven million, seven hundred seventy-one thousand, forty".