4977985434624 has 792 divisors, whose sum is σ = 15432319244160. Its totient is φ = 1604261707776.

The previous prime is 4977985434593. The next prime is 4977985434647. The reversal of 4977985434624 is 4264345897794.

4977985434624 is a `hidden beast` number, since 4 + 9 + 7 + 79 + 8 + 543 + 4 + 6 + 2 + 4 = 666.

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

Its product of digits (1463132160) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44052968392 + ... + 44052968504.

Almost surely, 2^{4977985434624} 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 4977985434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716159622080).

4977985434624 is an abundant number, since it is smaller than the sum of its proper divisors (10454333809536).

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

4977985434624 is an frugal number, since it uses more digits than its factorization.

4977985434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 280 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 4977985434624 in words is "four trillion, nine hundred seventy-seven billion, nine hundred eighty-five million, four hundred thirty-four thousand, six hundred twenty-four".