5167410864 has 320 divisors, whose sum is σ = 17196613632. Its totient is φ = 1298304000.

The previous prime is 5167410847. The next prime is 5167410881. The reversal of 5167410864 is 4680147615.

It is an interprime number because it is at equal distance from previous prime (5167410847) and next prime (5167410881).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26230414 + ... + 26230610.

Almost surely, 2^5167410864 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 5167410864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598306816).

5167410864 is an abundant number, since it is smaller than the sum of its proper divisors (12029202768).

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

5167410864 is a wasteful number, since it uses less digits than its factorization.

5167410864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5167410864 is about 71884.7053551727. The cubic root of 5167410864 is about 1728.8513947876.

The spelling of 5167410864 in words is "five billion, one hundred sixty-seven million, four hundred ten thousand, eight hundred sixty-four".