4960687107600 has 405 divisors, whose sum is σ = 20029345294413. Its totient is φ = 1133657521920.

The previous prime is 4960687107587. The next prime is 4960687107659. The reversal of 4960687107600 is 67017860694.

It is a happy number.

The square root of 4960687107600 is 2227260.

It is a perfect power (a square), and thus also a powerful number.

4960687107600 is a `hidden beast` number, since 496 + 0 + 6 + 87 + 1 + 0 + 76 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1785847358736 + 3174839748864 = 1336356^2 + 1781808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 935446549 + ... + 935451851.

Almost surely, 2^{4960687107600} is an apocalyptic number.

4960687107600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4960687107600 is the 2227260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960687107600

4960687107600 is an abundant number, since it is smaller than the sum of its proper divisors (15068658186813).

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

4960687107600 is an equidigital number, since it uses as much as digits as its factorization.

4960687107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 4960687107600 in words is "four trillion, nine hundred sixty billion, six hundred eighty-seven million, one hundred seven thousand, six hundred".