726739074432 has 128 divisors (see below), whose sum is σ = 2451302515200. Its totient is φ = 207639728640.

The previous prime is 726739074431. The next prime is 726739074463. The reversal of 726739074432 is 234470937627.

726739074432 is a `hidden beast` number, since 72 + 6 + 73 + 9 + 0 + 74 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×726739074432² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726739074431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14996044 + ... + 15044427.

It is an arithmetic number, because the mean of its divisors is an integer number (19150800900).

Almost surely, 2^726739074432 is an apocalyptic number.

726739074432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

726739074432 is an abundant number, since it is smaller than the sum of its proper divisors (1724563440768).

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

726739074432 is a wasteful number, since it uses less digits than its factorization.

726739074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30040501 (or 30040483 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 726739074432 in words is "seven hundred twenty-six billion, seven hundred thirty-nine million, seventy-four thousand, four hundred thirty-two".