472777564686100 has 144 divisors (see below), whose sum is σ = 1102987834260480. Its totient is φ = 175486106188800.

The previous prime is 472777564686041. The next prime is 472777564686109. The reversal of 472777564686100 is 1686465777274.

It is a self number, because there is not a number n which added to its sum of digits gives 472777564686100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472777564686109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12838660 + ... + 33322459.

It is an arithmetic number, because the mean of its divisors is an integer number (7659637737920).

Almost surely, 2^{472777564686100} is an apocalyptic number.

It is an amenable number.

472777564686100 is an abundant number, since it is smaller than the sum of its proper divisors (630210269574380).

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

472777564686100 is a wasteful number, since it uses less digits than its factorization.

472777564686100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46161290 (or 46161283 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 70.

The spelling of 472777564686100 in words is "four hundred seventy-two trillion, seven hundred seventy-seven billion, five hundred sixty-four million, six hundred eighty-six thousand, one hundred".