472537642842720 has 4608 divisors, whose sum is σ = 2238926635008000. Its totient is φ = 90791710064640.

The previous prime is 472537642842673. The next prime is 472537642842721. The reversal of 472537642842720 is 27248246735274.

472537642842720 is a `hidden beast` number, since 4 + 7 + 2 + 537 + 6 + 4 + 28 + 4 + 2 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472537642842721) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 538811450922 + ... + 538811451798.

It is an arithmetic number, because the mean of its divisors is an integer number (485878176000).

Almost surely, 2^{472537642842720} is an apocalyptic number.

472537642842720 is a gapful number since it is divisible by the number (40) 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 472537642842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119463317504000).

472537642842720 is an abundant number, since it is smaller than the sum of its proper divisors (1766388992165280).

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

472537642842720 is a wasteful number, since it uses less digits than its factorization.

472537642842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 63.

The spelling of 472537642842720 in words is "four hundred seventy-two trillion, five hundred thirty-seven billion, six hundred forty-two million, eight hundred forty-two thousand, seven hundred twenty".