470676319751808 has 896 divisors, whose sum is σ = 1542900882447360. Its totient is φ = 142488469094400.

The previous prime is 470676319751789. The next prime is 470676319751819. The reversal of 470676319751808 is 808157913676074.

470676319751808 is a `hidden beast` number, since 4 + 7 + 0 + 6 + 76 + 31 + 9 + 7 + 518 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3526100428 + ... + 3526233908.

Almost surely, 2^{470676319751808} is an apocalyptic number.

470676319751808 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 470676319751808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771450441223680).

470676319751808 is an abundant number, since it is smaller than the sum of its proper divisors (1072224562695552).

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

470676319751808 is a wasteful number, since it uses less digits than its factorization.

470676319751808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133620 (or 133593 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 470676319751808 in words is "four hundred seventy trillion, six hundred seventy-six billion, three hundred nineteen million, seven hundred fifty-one thousand, eight hundred eight".