4976493984 has 768 divisors, whose sum is σ = 19818086400. Its totient is φ = 1175731200.

The previous prime is 4976493979. The next prime is 4976494001. The reversal of 4976493984 is 4893946794.

4976493984 is a `hidden beast` number, since 497 + 64 + 9 + 3 + 9 + 84 = 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39184929 + ... + 39185055.

It is an arithmetic number, because the mean of its divisors is an integer number (25804800).

Almost surely, 2^4976493984 is an apocalyptic number.

4976493984 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 4976493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909043200).

4976493984 is an abundant number, since it is smaller than the sum of its proper divisors (14841592416).

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

4976493984 is a wasteful number, since it uses less digits than its factorization.

4976493984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 4976493984 is about 70544.2696751480. The cubic root of 4976493984 is about 1707.2920883539.

The spelling of 4976493984 in words is "four billion, nine hundred seventy-six million, four hundred ninety-three thousand, nine hundred eighty-four".