4462788096 has 320 divisors, whose sum is σ = 14986540800. Its totient is φ = 1299898368.

The previous prime is 4462788079. The next prime is 4462788103. The reversal of 4462788096 is 6908872644.

4462788096 is a `hidden beast` number, since 4 + 4 + 627 + 8 + 8 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413875 + ... + 3415181.

It is an arithmetic number, because the mean of its divisors is an integer number (46832940).

Almost surely, 2^4462788096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4462788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493270400).

4462788096 is an abundant number, since it is smaller than the sum of its proper divisors (10523752704).

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

4462788096 is a wasteful number, since it uses less digits than its factorization.

4462788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4462788096 is about 66804.1023890000. The cubic root of 4462788096 is about 1646.4002447959.

The spelling of 4462788096 in words is "four billion, four hundred sixty-two million, seven hundred eighty-eight thousand, ninety-six".