4967727745600 has 63 divisors (see below), whose sum is σ = 12223934461531. Its totient is φ = 1987055436800.

The previous prime is 4967727745577. The next prime is 4967727745667. The reversal of 4967727745600 is 65477277694.

The square root of 4967727745600 is 2228840.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1589072021056 + 3378655724544 = 1260584^2 + 1838112^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89125740 + ... + 89181460.

Almost surely, 2^{4967727745600} is an apocalyptic number.

4967727745600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4967727745600 is the 2228840-th square number.

It is an amenable number.

4967727745600 is an abundant number, since it is smaller than the sum of its proper divisors (7256206715931).

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

4967727745600 is an frugal number, since it uses more digits than its factorization.

4967727745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111464 (or 55728 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 64.

Multiplying 4967727745600 by its sum of digits (64), we get a square (317934575718400 = 17830720²).

4967727745600 divided by its sum of digits (64) gives a square (77620746025 = 278605²).

The spelling of 4967727745600 in words is "four trillion, nine hundred sixty-seven billion, seven hundred twenty-seven million, seven hundred forty-five thousand, six hundred".