4997117664 has 384 divisors, whose sum is σ = 18765250560. Its totient is φ = 1255564800.

The previous prime is 4997117651. The next prime is 4997117689. The reversal of 4997117664 is 4667117994.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4997117664.

It is a congruent number.

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, 2061157 + ... + 2063579.

It is an arithmetic number, because the mean of its divisors is an integer number (48867840).

Almost surely, 2^4997117664 is an apocalyptic number.

4997117664 is a gapful number since it is divisible by the number (44) 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 4997117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9382625280).

4997117664 is an abundant number, since it is smaller than the sum of its proper divisors (13768132896).

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

4997117664 is a wasteful number, since it uses less digits than its factorization.

4997117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2477 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 4997117664 is about 70690.2939872229. The cubic root of 4997117664 is about 1709.6473018356.

The spelling of 4997117664 in words is "four billion, nine hundred ninety-seven million, one hundred seventeen thousand, six hundred sixty-four".