4978676629920 has 768 divisors, whose sum is σ = 19014830714880. Its totient is φ = 1070795980800.

The previous prime is 4978676629867. The next prime is 4978676629943. The reversal of 4978676629920 is 299266768794.

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, 2392443280 + ... + 2392445360.

It is an arithmetic number, because the mean of its divisors is an integer number (24758894160).

Almost surely, 2^{4978676629920} is an apocalyptic number.

4978676629920 is a gapful number since it is divisible by the number (40) 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 4978676629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9507415357440).

4978676629920 is an abundant number, since it is smaller than the sum of its proper divisors (14036154084960).

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

4978676629920 is a wasteful number, since it uses less digits than its factorization.

4978676629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 75.

The spelling of 4978676629920 in words is "four trillion, nine hundred seventy-eight billion, six hundred seventy-six million, six hundred twenty-nine thousand, nine hundred twenty".