726576264960 has 1296 divisors, whose sum is σ = 2972483517024. Its totient is φ = 150716547072.

The previous prime is 726576264907. The next prime is 726576264979. The reversal of 726576264960 is 69462675627.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 726576264894 and 726576264903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2321329764 + ... + 2321330076.

Almost surely, 2^726576264960 is an apocalyptic number.

726576264960 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 726576264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486241758512).

726576264960 is an abundant number, since it is smaller than the sum of its proper divisors (2245907252064).

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

726576264960 is a wasteful number, since it uses less digits than its factorization.

726576264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 726576264960 in words is "seven hundred twenty-six billion, five hundred seventy-six million, two hundred sixty-four thousand, nine hundred sixty".