474175061978688 has 1344 divisors, whose sum is σ = 1679142688391168. Its totient is φ = 129823298519040.

The previous prime is 474175061978593. The next prime is 474175061978759. The reversal of 474175061978688 is 886879160571474.

474175061978688 is a `hidden beast` number, since 4 + 7 + 4 + 17 + 506 + 1 + 97 + 8 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365593724856 + ... + 365593726152.

Almost surely, 2^{474175061978688} is an apocalyptic number.

474175061978688 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 474175061978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839571344195584).

474175061978688 is an abundant number, since it is smaller than the sum of its proper divisors (1204967626412480).

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

474175061978688 is a wasteful number, since it uses less digits than its factorization.

474175061978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 4551966720, while the sum is 81.

The spelling of 474175061978688 in words is "four hundred seventy-four trillion, one hundred seventy-five billion, sixty-one million, nine hundred seventy-eight thousand, six hundred eighty-eight".