726456971520 has 864 divisors, whose sum is σ = 3072232074240. Its totient is φ = 161981890560.

The previous prime is 726456971509. The next prime is 726456971551. The reversal of 726456971520 is 25179654627.

It is a happy number.

726456971520 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 569 + 71 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×726456971520² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69425809 + ... + 69436271.

It is an arithmetic number, because the mean of its divisors is an integer number (3555824160).

Almost surely, 2^726456971520 is an apocalyptic number.

726456971520 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 726456971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536116037120).

726456971520 is an abundant number, since it is smaller than the sum of its proper divisors (2345775102720).

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

726456971520 is a wasteful number, since it uses less digits than its factorization.

726456971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10521 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 726456971520 in words is "seven hundred twenty-six billion, four hundred fifty-six million, nine hundred seventy-one thousand, five hundred twenty".