726875437683600 has 960 divisors, whose sum is σ = 2654854509984000. Its totient is φ = 191202110668800.

The previous prime is 726875437683541. The next prime is 726875437683617. The reversal of 726875437683600 is 6386734578627.

It is a happy number.

726875437683600 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 7 + 5 + 4 + 3 + 7 + 6 + 8 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20857838976 + ... + 20857873824.

It is an arithmetic number, because the mean of its divisors is an integer number (2765473447900).

Almost surely, 2^{726875437683600} 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 726875437683600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327427254992000).

726875437683600 is an abundant number, since it is smaller than the sum of its proper divisors (1927979072300400).

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

726875437683600 is a wasteful number, since it uses less digits than its factorization.

726875437683600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35212 (or 35183 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 726875437683600 in words is "seven hundred twenty-six trillion, eight hundred seventy-five billion, four hundred thirty-seven million, six hundred eighty-three thousand, six hundred".