4904702078976 has 1248 divisors, whose sum is σ = 17477141680128. Its totient is φ = 1295678177280.

The previous prime is 4904702078953. The next prime is 4904702078987. The reversal of 4904702078976 is 6798702074094.

4904702078976 is a `hidden beast` number, since 4 + 9 + 0 + 470 + 2 + 0 + 78 + 97 + 6 = 666.

It is a super-2 number, since 2×4904702078976² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21606616975 + ... + 21606617201.

It is an arithmetic number, because the mean of its divisors is an integer number (14004119936).

Almost surely, 2^{4904702078976} 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 4904702078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738570840064).

4904702078976 is an abundant number, since it is smaller than the sum of its proper divisors (12572439601152).

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

4904702078976 is a wasteful number, since it uses less digits than its factorization.

4904702078976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 4904702078976 in words is "four trillion, nine hundred four billion, seven hundred two million, seventy-eight thousand, nine hundred seventy-six".