4977093648384 has 896 divisors, whose sum is σ = 17656837228800. Its totient is φ = 1365466152960.

The previous prime is 4977093648379. The next prime is 4977093648413. The reversal of 4977093648384 is 4838463907794.

It is a happy number.

4977093648384 is a `hidden beast` number, since 4 + 97 + 70 + 93 + 6 + 4 + 8 + 384 = 666.

It is a super-2 number, since 2×4977093648384² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1676352052 + ... + 1676355020.

It is an arithmetic number, because the mean of its divisors is an integer number (19706291550).

Almost surely, 2^{4977093648384} is an apocalyptic number.

4977093648384 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 4977093648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828418614400).

4977093648384 is an abundant number, since it is smaller than the sum of its proper divisors (12679743580416).

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

4977093648384 is a wasteful number, since it uses less digits than its factorization.

4977093648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 4977093648384 in words is "four trillion, nine hundred seventy-seven billion, ninety-three million, six hundred forty-eight thousand, three hundred eighty-four".