4959700761600 has 924 divisors, whose sum is σ = 19851512722216. Its totient is φ = 1220789698560.

The previous prime is 4959700761599. The next prime is 4959700761601. The reversal of 4959700761600 is 61670079594.

4959700761600 is a `hidden beast` number, since 49 + 597 + 0 + 0 + 7 + 6 + 1 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4959700761599) and next prime (4959700761601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4959700761601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 242600979 + ... + 242621421.

Almost surely, 2^{4959700761600} is an apocalyptic number.

4959700761600 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 4959700761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925756361108).

4959700761600 is an abundant number, since it is smaller than the sum of its proper divisors (14891811960616).

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

4959700761600 is a wasteful number, since it uses less digits than its factorization.

4959700761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20504 (or 20466 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 4959700761600 in words is "four trillion, nine hundred fifty-nine billion, seven hundred million, seven hundred sixty-one thousand, six hundred".