100472927772672 has 1680 divisors, whose sum is σ = 377570210537520. Its totient is φ = 26389664759808.

The previous prime is 100472927772631. The next prime is 100472927772697. The reversal of 100472927772672 is 276277729274001.

100472927772672 is a `hidden beast` number, since 1 + 0 + 0 + 472 + 9 + 2 + 7 + 77 + 26 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 197392785154 + ... + 197392785662.

It is an arithmetic number, because the mean of its divisors is an integer number (224744172939).

Almost surely, 2^{100472927772672} is an apocalyptic number.

100472927772672 is a gapful number since it is divisible by the number (12) 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 100472927772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188785105268760).

100472927772672 is an abundant number, since it is smaller than the sum of its proper divisors (277097282764848).

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

100472927772672 is an equidigital number, since it uses as much as digits as its factorization.

100472927772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 63.

The spelling of 100472927772672 in words is "one hundred trillion, four hundred seventy-two billion, nine hundred twenty-seven million, seven hundred seventy-two thousand, six hundred seventy-two".