4832679364800 has 336 divisors, whose sum is σ = 18123388005120. Its totient is φ = 1104420925440.

The previous prime is 4832679364789. The next prime is 4832679364873. The reversal of 4832679364800 is 84639762384.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304374462 + ... + 304390338.

Almost surely, 2^{4832679364800} is an apocalyptic number.

4832679364800 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 4832679364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9061694002560).

4832679364800 is an abundant number, since it is smaller than the sum of its proper divisors (13290708640320).

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

4832679364800 is a wasteful number, since it uses less digits than its factorization.

4832679364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24968 (or 24953 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 4832679364800 in words is "four trillion, eight hundred thirty-two billion, six hundred seventy-nine million, three hundred sixty-four thousand, eight hundred".