474524455680 has 576 divisors, whose sum is σ = 1844674352640. Its totient is φ = 114554880000.

The previous prime is 474524455649. The next prime is 474524455681. The reversal of 474524455680 is 86554425474.

474524455680 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 2 + 4 + 4 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (474524455681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95417674 + ... + 95422646.

It is an arithmetic number, because the mean of its divisors is an integer number (3202559640).

Almost surely, 2^474524455680 is an apocalyptic number.

474524455680 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 474524455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922337176320).

474524455680 is an abundant number, since it is smaller than the sum of its proper divisors (1370149896960).

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

474524455680 is a wasteful number, since it uses less digits than its factorization.

474524455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 474524455680 in words is "four hundred seventy-four billion, five hundred twenty-four million, four hundred fifty-five thousand, six hundred eighty".