5006101968 has 400 divisors, whose sum is σ = 17412802176. Its totient is φ = 1358622720.

The previous prime is 5006101951. The next prime is 5006101973. The reversal of 5006101968 is 8691016005.

5006101968 is a `hidden beast` number, since 500 + 61 + 0 + 1 + 96 + 8 = 666.

It is a super-2 number, since 2×5006101968² = 50122113828026946048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15993780 + ... + 15994092.

Almost surely, 2^5006101968 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 5006101968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706401088).

5006101968 is an abundant number, since it is smaller than the sum of its proper divisors (12406700208).

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

5006101968 is a wasteful number, since it uses less digits than its factorization.

5006101968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5006101968 is about 70753.8123919835. The cubic root of 5006101968 is about 1710.6712784610.

The spelling of 5006101968 in words is "five billion, six million, one hundred one thousand, nine hundred sixty-eight".