4997867616 has 768 divisors, whose sum is σ = 19198771200. Its totient is φ = 1231718400.

The previous prime is 4997867599. The next prime is 4997867629. The reversal of 4997867616 is 6167687994.

4997867616 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 8 + 6 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81932226 + ... + 81932286.

It is an arithmetic number, because the mean of its divisors is an integer number (24998400).

Almost surely, 2^4997867616 is an apocalyptic number.

4997867616 is a gapful number since it is divisible by the number (46) 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 4997867616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599385600).

4997867616 is an abundant number, since it is smaller than the sum of its proper divisors (14200903584).

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

4997867616 is a wasteful number, since it uses less digits than its factorization.

4997867616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 4997867616 is about 70695.5982788179. The cubic root of 4997867616 is about 1709.7328237547.

The spelling of 4997867616 in words is "four billion, nine hundred ninety-seven million, eight hundred sixty-seven thousand, six hundred sixteen".