4611768096 has 96 divisors (see below), whose sum is σ = 13059385920. Its totient is φ = 1416582144.

The previous prime is 4611768089. The next prime is 4611768113. The reversal of 4611768096 is 6908671164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812115 + ... + 817773.

It is an arithmetic number, because the mean of its divisors is an integer number (136035270).

Almost surely, 2^4611768096 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 4611768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529692960).

4611768096 is an abundant number, since it is smaller than the sum of its proper divisors (8447617824).

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

4611768096 is a wasteful number, since it uses less digits than its factorization.

4611768096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 4611768096 is about 67909.9999705493. Note that the first 4 decimals coincide. The cubic root of 4611768096 is about 1664.5205202507.

The spelling of 4611768096 in words is "four billion, six hundred eleven million, seven hundred sixty-eight thousand, ninety-six".