742964794560 has 672 divisors, whose sum is σ = 2734174872000. Its totient is φ = 184637325312.

The previous prime is 742964794549. The next prime is 742964794609. The reversal of 742964794560 is 65497469247.

It is a happy number.

742964794560 is a `hidden beast` number, since 7 + 4 + 2 + 9 + 64 + 7 + 9 + 4 + 560 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1816539636 + ... + 1816540044.

Almost surely, 2^742964794560 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 742964794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367087436000).

742964794560 is an abundant number, since it is smaller than the sum of its proper divisors (1991210077440).

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

742964794560 is a wasteful number, since it uses less digits than its factorization.

742964794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 742964794560 in words is "seven hundred forty-two billion, nine hundred sixty-four million, seven hundred ninety-four thousand, five hundred sixty".