4995637761600 has 1344 divisors, whose sum is σ = 19946477272320. Its totient is φ = 1211115110400.

The previous prime is 4995637761571. The next prime is 4995637761623. The reversal of 4995637761600 is 61677365994.

4995637761600 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 6 + 3 + 7 + 7 + 616 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4266129015 + ... + 4266130185.

Almost surely, 2^{4995637761600} is an apocalyptic number.

4995637761600 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 4995637761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973238636160).

4995637761600 is an abundant number, since it is smaller than the sum of its proper divisors (14950839510720).

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

4995637761600 is a wasteful number, since it uses less digits than its factorization.

4995637761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 4995637761600 in words is "four trillion, nine hundred ninety-five billion, six hundred thirty-seven million, seven hundred sixty-one thousand, six hundred".