474640642605888 has 672 divisors, whose sum is σ = 1527095899929600. Its totient is φ = 139701135974400.

The previous prime is 474640642605853. The next prime is 474640642605889. The reversal of 474640642605888 is 888506246046474.

474640642605888 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 4 + 0 + 6 + 4 + 2 + 605 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×474640642605888² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474640642605889) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61458061995 + ... + 61458069717.

It is an arithmetic number, because the mean of its divisors is an integer number (2272464136800).

Almost surely, 2^{474640642605888} is an apocalyptic number.

474640642605888 is a gapful number since it is divisible by the number (48) 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 474640642605888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763547949964800).

474640642605888 is an abundant number, since it is smaller than the sum of its proper divisors (1052455257323712).

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

474640642605888 is a wasteful number, since it uses less digits than its factorization.

474640642605888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8798 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 72.

The spelling of 474640642605888 in words is "four hundred seventy-four trillion, six hundred forty billion, six hundred forty-two million, six hundred five thousand, eight hundred eighty-eight".