726914580480 has 1200 divisors, whose sum is σ = 2973414939264. Its totient is φ = 168170618880.

The previous prime is 726914580437. The next prime is 726914580523. The reversal of 726914580480 is 84085419627.

It is a happy number.

726914580480 is a `hidden beast` number, since 7 + 2 + 6 + 9 + 14 + 580 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (726914580437) and next prime (726914580523).

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 79 ways as a sum of consecutive naturals, for example, 1678786344 + ... + 1678786776.

Almost surely, 2^726914580480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726914580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486707469632).

726914580480 is an abundant number, since it is smaller than the sum of its proper divisors (2246500358784).

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

726914580480 is a wasteful number, since it uses less digits than its factorization.

726914580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 726914580480 in words is "seven hundred twenty-six billion, nine hundred fourteen million, five hundred eighty thousand, four hundred eighty".