726642524160 has 680 divisors, whose sum is σ = 2978050559616. Its totient is φ = 166047252480.

The previous prime is 726642524159. The next prime is 726642524173. The reversal of 726642524160 is 61425246627.

726642524160 is a `hidden beast` number, since 7 + 2 + 6 + 64 + 2 + 524 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185792605 + ... + 185796515.

Almost surely, 2^726642524160 is an apocalyptic number.

726642524160 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 726642524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489025279808).

726642524160 is an abundant number, since it is smaller than the sum of its proper divisors (2251408035456).

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

726642524160 is an frugal number, since it uses more digits than its factorization.

726642524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 726642524160 in words is "seven hundred twenty-six billion, six hundred forty-two million, five hundred twenty-four thousand, one hundred sixty".