742488003465936 has 640 divisors, whose sum is σ = 2493668128358400. Its totient is φ = 188966769868800.

The previous prime is 742488003465863. The next prime is 742488003465973. The reversal of 742488003465936 is 639564300884247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2341993671 + ... + 2342310681.

It is an arithmetic number, because the mean of its divisors is an integer number (3896356450560).

Almost surely, 2^{742488003465936} 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 742488003465936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246834064179200).

742488003465936 is an abundant number, since it is smaller than the sum of its proper divisors (1751180124892464).

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

742488003465936 is a wasteful number, since it uses less digits than its factorization.

742488003465936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317440 (or 317420 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 69.

The spelling of 742488003465936 in words is "seven hundred forty-two trillion, four hundred eighty-eight billion, three million, four hundred sixty-five thousand, nine hundred thirty-six".