742686138432 has 840 divisors, whose sum is σ = 2769305510400. Its totient is φ = 195547613184.

The previous prime is 742686138427. The next prime is 742686138449. The reversal of 742686138432 is 234831686247.

742686138432 is a `hidden beast` number, since 7 + 426 + 86 + 138 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 178571169 + ... + 178575327.

Almost surely, 2^742686138432 is an apocalyptic number.

742686138432 is a gapful number since it is divisible by the number (72) 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 742686138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384652755200).

742686138432 is an abundant number, since it is smaller than the sum of its proper divisors (2026619371968).

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

742686138432 is a wasteful number, since it uses less digits than its factorization.

742686138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4227 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 742686138432 in words is "seven hundred forty-two billion, six hundred eighty-six million, one hundred thirty-eight thousand, four hundred thirty-two".