726167402100 has 162 divisors, whose sum is σ = 2647744826454. Its totient is φ = 165981110400.

The previous prime is 726167402087. The next prime is 726167402143. The reversal of 726167402100 is 1204761627.

726167402100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 107928018576 + 618239383524 = 328524^2 + 786282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8189091 + ... + 8277290.

It is an arithmetic number, because the mean of its divisors is an integer number (16344103867).

Almost surely, 2^726167402100 is an apocalyptic number.

726167402100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

726167402100 is an abundant number, since it is smaller than the sum of its proper divisors (1921577424354).

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

726167402100 is a wasteful number, since it uses less digits than its factorization.

726167402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16466415 (or 16466398 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 726167402100 in words is "seven hundred twenty-six billion, one hundred sixty-seven million, four hundred two thousand, one hundred".