4832879776560 has 640 divisors, whose sum is σ = 19313213875200. Its totient is φ = 1097810657280.

The previous prime is 4832879776559. The next prime is 4832879776573. The reversal of 4832879776560 is 656779782384.

4832879776560 is a `hidden beast` number, since 483 + 2 + 8 + 7 + 97 + 7 + 6 + 56 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 91663486 + ... + 91716194.

It is an arithmetic number, because the mean of its divisors is an integer number (30176896680).

Almost surely, 2^{4832879776560} is an apocalyptic number.

4832879776560 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 4832879776560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656606937600).

4832879776560 is an abundant number, since it is smaller than the sum of its proper divisors (14480334098640).

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

4832879776560 is a wasteful number, since it uses less digits than its factorization.

4832879776560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52986 (or 52974 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 4832879776560 in words is "four trillion, eight hundred thirty-two billion, eight hundred seventy-nine million, seven hundred seventy-six thousand, five hundred sixty".