167798974464 has 576 divisors, whose sum is σ = 564677568000. Its totient is φ = 49147084800.

The previous prime is 167798974439. The next prime is 167798974477. The reversal of 167798974464 is 464479897761.

167798974464 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 98 + 9 + 74 + 464 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 167798974392 and 167798974401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207414892 + ... + 207415700.

It is an arithmetic number, because the mean of its divisors is an integer number (980343000).

Almost surely, 2^167798974464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167798974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282338784000).

167798974464 is an abundant number, since it is smaller than the sum of its proper divisors (396878593536).

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

167798974464 is a wasteful number, since it uses less digits than its factorization.

167798974464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 856 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 167798974464 in words is "one hundred sixty-seven billion, seven hundred ninety-eight million, nine hundred seventy-four thousand, four hundred sixty-four".