4980007194624 has 1248 divisors, whose sum is σ = 18753547438080. Its totient is φ = 1282778726400.

The previous prime is 4980007194581. The next prime is 4980007194641. The reversal of 4980007194624 is 4264917000894.

4980007194624 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 0 + 0 + 7 + 1 + 9 + 4 + 624 = 666.

It is a super-2 number, since 2×4980007194624² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13871886157 + ... + 13871886515.

It is an arithmetic number, because the mean of its divisors is an integer number (15026880960).

Almost surely, 2^{4980007194624} is an apocalyptic number.

4980007194624 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 4980007194624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376773719040).

4980007194624 is an abundant number, since it is smaller than the sum of its proper divisors (13773540243456).

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

4980007194624 is a wasteful number, since it uses less digits than its factorization.

4980007194624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4980007194624 in words is "four trillion, nine hundred eighty billion, seven million, one hundred ninety-four thousand, six hundred twenty-four".