7617577920016 has 45 divisors (see below), whose sum is σ = 14823484830093. Its totient is φ = 3792234504000.

The previous prime is 7617577920013. The next prime is 7617577920047. The reversal of 7617577920016 is 6100297757167.

The square root of 7617577920016 is 2759996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 907820217616 + 6709757702400 = 952796^2 + 2590320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7617577920013) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2771034610 + ... + 2771037358.

Almost surely, 2^{7617577920016} is an apocalyptic number.

7617577920016 is the 2759996-th square number.

It is an amenable number.

7617577920016 is a deficient number, since it is larger than the sum of its proper divisors (7205906910077).

7617577920016 is an frugal number, since it uses more digits than its factorization.

7617577920016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 58.

The spelling of 7617577920016 in words is "seven trillion, six hundred seventeen billion, five hundred seventy-seven million, nine hundred twenty thousand, sixteen".