473631890688000 has 1152 divisors, whose sum is σ = 1870198802035200. Its totient is φ = 114337972224000.

The previous prime is 473631890687987. The next prime is 473631890688013. The reversal of 473631890688000 is 886098136374.

473631890688000 is a `hidden beast` number, since 47 + 363 + 18 + 90 + 68 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (473631890687987) and next prime (473631890688013).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×473631890688000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6057176904 + ... + 6057255096.

It is an arithmetic number, because the mean of its divisors is an integer number (1623436460100).

Almost surely, 2^{473631890688000} is an apocalyptic number.

473631890688000 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 473631890688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935099401017600).

473631890688000 is an abundant number, since it is smaller than the sum of its proper divisors (1396566911347200).

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

473631890688000 is a wasteful number, since it uses less digits than its factorization.

473631890688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78486 (or 78453 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 473631890688000 in words is "four hundred seventy-three trillion, six hundred thirty-one billion, eight hundred ninety million, six hundred eighty-eight thousand".