4777896505600 has 243 divisors, whose sum is σ = 11999496147807. Its totient is φ = 1883529584640.

The previous prime is 4777896505597. The next prime is 4777896505673. The reversal of 4777896505600 is 65056987774.

The square root of 4777896505600 is 2185840.

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 994280202496 + 3783616303104 = 997136^2 + 1945152^2 .

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 26 ways as a sum of consecutive naturals, for example, 15563180647 + ... + 15563180953.

Almost surely, 2^{4777896505600} is an apocalyptic number.

4777896505600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4777896505600 is the 2185840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4777896505600

4777896505600 is an abundant number, since it is smaller than the sum of its proper divisors (7221599642207).

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

4777896505600 is an frugal number, since it uses more digits than its factorization.

4777896505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 64.

Multiplying 4777896505600 by its sum of digits (64), we get a square (305785376358400 = 17486720²).

4777896505600 divided by its sum of digits (64) gives a square (74654632900 = 273230²).

The spelling of 4777896505600 in words is "four trillion, seven hundred seventy-seven billion, eight hundred ninety-six million, five hundred five thousand, six hundred".