7690655464960 has 640 divisors, whose sum is σ = 21197513272320. Its totient is φ = 2655623577600.

The previous prime is 7690655464937. The next prime is 7690655464969. The reversal of 7690655464960 is 694645560967.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×7690655464960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7690655464969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4779772636 + ... + 4779774244.

It is an arithmetic number, because the mean of its divisors is an integer number (33121114488).

Almost surely, 2^{7690655464960} 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 7690655464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598756636160).

7690655464960 is an abundant number, since it is smaller than the sum of its proper divisors (13506857807360).

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

7690655464960 is a wasteful number, since it uses less digits than its factorization.

7690655464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 67.

The spelling of 7690655464960 in words is "seven trillion, six hundred ninety billion, six hundred fifty-five million, four hundred sixty-four thousand, nine hundred sixty".