6946610520960 has 384 divisors, whose sum is σ = 26200267348320. Its totient is φ = 1681963008000.

The previous prime is 6946610520959. The next prime is 6946610521003. The reversal of 6946610520960 is 690250166496.

6946610520960 is a `hidden beast` number, since 6 + 9 + 46 + 6 + 10 + 520 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6946610520897 and 6946610520906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51951790 + ... + 52085330.

Almost surely, 2^{6946610520960} is an apocalyptic number.

6946610520960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6946610520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100133674160).

6946610520960 is an abundant number, since it is smaller than the sum of its proper divisors (19253656827360).

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

6946610520960 is a wasteful number, since it uses less digits than its factorization.

6946610520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134398 (or 134383 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 6946610520960 in words is "six trillion, nine hundred forty-six billion, six hundred ten million, five hundred twenty thousand, nine hundred sixty".