4968933984 has 480 divisors, whose sum is σ = 17856115200. Its totient is φ = 1357969536.

The previous prime is 4968933973. The next prime is 4968934027. The reversal of 4968933984 is 4893398694.

It is a super-2 number, since 2×4968933984² = 49380609874700224512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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.

Its product of digits (40310784) is a multiple of the sum of its prime factors (81).

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, 216040597 + ... + 216040619.

It is an arithmetic number, because the mean of its divisors is an integer number (37200240).

Almost surely, 2^4968933984 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 4968933984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928057600).

4968933984 is an abundant number, since it is smaller than the sum of its proper divisors (12887181216).

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

4968933984 is an frugal number, since it uses more digits than its factorization.

4968933984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The square root of 4968933984 is about 70490.6659352854. The cubic root of 4968933984 is about 1706.4271106092.

The spelling of 4968933984 in words is "four billion, nine hundred sixty-eight million, nine hundred thirty-three thousand, nine hundred eighty-four".