74678167701864 has 256 divisors, whose sum is σ = 212656531680000. Its totient is φ = 24276371632128.

The previous prime is 74678167701853. The next prime is 74678167701877. The reversal of 74678167701864 is 46810776187647.

74678167701864 is a `hidden beast` number, since 7 + 467 + 8 + 16 + 7 + 70 + 1 + 86 + 4 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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 = 74678167701792 and 74678167701801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470966404 + ... + 471124940.

It is an arithmetic number, because the mean of its divisors is an integer number (830689576875).

Almost surely, 2^{74678167701864} 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 74678167701864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106328265840000).

74678167701864 is an abundant number, since it is smaller than the sum of its proper divisors (137978363978136).

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

74678167701864 is a wasteful number, since it uses less digits than its factorization.

74678167701864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158977 (or 158967 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 72.

The spelling of 74678167701864 in words is "seventy-four trillion, six hundred seventy-eight billion, one hundred sixty-seven million, seven hundred one thousand, eight hundred sixty-four".