474264473760 has 960 divisors, whose sum is σ = 2102601473280. Its totient is φ = 97800929280.

The previous prime is 474264473747. The next prime is 474264473773. The reversal of 474264473760 is 67374462474.

474264473760 is a `hidden beast` number, since 4 + 7 + 4 + 264 + 4 + 7 + 376 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (474264473747) and next prime (474264473773).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 474264473697 and 474264473706.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136713306 + ... + 136716774.

It is an arithmetic number, because the mean of its divisors is an integer number (2190209868).

Almost surely, 2^474264473760 is an apocalyptic number.

474264473760 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 474264473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051300736640).

474264473760 is an abundant number, since it is smaller than the sum of its proper divisors (1628336999520).

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

474264473760 is a wasteful number, since it uses less digits than its factorization.

474264473760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 474264473760 in words is "four hundred seventy-four billion, two hundred sixty-four million, four hundred seventy-three thousand, seven hundred sixty".