7607817616960 has 168 divisors, whose sum is σ = 19936574320320. Its totient is φ = 2763169981440.

The previous prime is 7607817616909. The next prime is 7607817616979. The reversal of 7607817616960 is 696167187067.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 7607817616892 and 7607817616901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32368987 + ... + 32603173.

It is an arithmetic number, because the mean of its divisors is an integer number (118670085240).

Almost surely, 2^{7607817616960} 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 7607817616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968287160160).

7607817616960 is an abundant number, since it is smaller than the sum of its proper divisors (12328756703360).

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

7607817616960 is a wasteful number, since it uses less digits than its factorization.

7607817616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235065 (or 235044 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 64.

The spelling of 7607817616960 in words is "seven trillion, six hundred seven billion, eight hundred seventeen million, six hundred sixteen thousand, nine hundred sixty".