742975059959040 has 2304 divisors, whose sum is σ = 2778296371200000. Its totient is φ = 168103350632448.

The previous prime is 742975059959039. The next prime is 742975059959131. The reversal of 742975059959040 is 40959950579247.

It is a super-2 number, since 2×742975059959040² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 808460347701 + ... + 808460348619.

It is an arithmetic number, because the mean of its divisors is an integer number (1205857800000).

Almost surely, 2^{742975059959040} 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 742975059959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389148185600000).

742975059959040 is an abundant number, since it is smaller than the sum of its proper divisors (2035321311240960).

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

742975059959040 is a wasteful number, since it uses less digits than its factorization.

742975059959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1285956000, while the sum is 75.

The spelling of 742975059959040 in words is "seven hundred forty-two trillion, nine hundred seventy-five billion, fifty-nine million, nine hundred fifty-nine thousand, forty".