742988765904000 has 1536 divisors, whose sum is σ = 3096363851642880. Its totient is φ = 154270651392000.

The previous prime is 742988765903953. The next prime is 742988765904017. The reversal of 742988765904000 is 409567889247.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60292841839 + ... + 60292854161.

It is an arithmetic number, because the mean of its divisors is an integer number (2015861882580).

Almost surely, 2^{742988765904000} is an apocalyptic number.

742988765904000 is a gapful number since it is divisible by the number (70) 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 742988765904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548181925821440).

742988765904000 is an abundant number, since it is smaller than the sum of its proper divisors (2353375085738880).

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

742988765904000 is a wasteful number, since it uses less digits than its factorization.

742988765904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13867 (or 13834 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 742988765904000 in words is "seven hundred forty-two trillion, nine hundred eighty-eight billion, seven hundred sixty-five million, nine hundred four thousand".