4887761937408 has 1056 divisors, whose sum is σ = 17328231648000. Its totient is φ = 1346989326336.

The previous prime is 4887761937293. The next prime is 4887761937413. The reversal of 4887761937408 is 8047391677884.

4887761937408 is a `hidden beast` number, since 4 + 8 + 8 + 77 + 61 + 93 + 7 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 9602675458 + ... + 9602675966.

Almost surely, 2^{4887761937408} is an apocalyptic number.

4887761937408 is a gapful number since it is divisible by the number (48) 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 4887761937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664115824000).

4887761937408 is an abundant number, since it is smaller than the sum of its proper divisors (12440469710592).

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

4887761937408 is a wasteful number, since it uses less digits than its factorization.

4887761937408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 4887761937408 in words is "four trillion, eight hundred eighty-seven billion, seven hundred sixty-one million, nine hundred thirty-seven thousand, four hundred eight".