742797903120 has 1440 divisors, whose sum is σ = 3125238221952. Its totient is φ = 144557457408.

The previous prime is 742797903103. The next prime is 742797903121. The reversal of 742797903120 is 21309797247.

It is not an unprimeable number, because it can be changed into a prime (742797903121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2373156084 + ... + 2373156396.

Almost surely, 2^742797903120 is an apocalyptic number.

742797903120 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 742797903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562619110976).

742797903120 is an abundant number, since it is smaller than the sum of its proper divisors (2382440318832).

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

742797903120 is a wasteful number, since it uses less digits than its factorization.

742797903120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The spelling of 742797903120 in words is "seven hundred forty-two billion, seven hundred ninety-seven million, nine hundred three thousand, one hundred twenty".