7414721064960 has 832 divisors, whose sum is σ = 26399564167680. Its totient is φ = 1761869824000.

The previous prime is 7414721064941. The next prime is 7414721065007. The reversal of 7414721064960 is 694601274147.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7879618090 + ... + 7879619030.

Almost surely, 2^{7414721064960} 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 7414721064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199782083840).

7414721064960 is an abundant number, since it is smaller than the sum of its proper divisors (18984843102720).

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

7414721064960 is a wasteful number, since it uses less digits than its factorization.

7414721064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 7414721064960 in words is "seven trillion, four hundred fourteen billion, seven hundred twenty-one million, sixty-four thousand, nine hundred sixty".