4692312768 has 448 divisors, whose sum is σ = 15566745600. Its totient is φ = 1227571200.

The previous prime is 4692312767. The next prime is 4692312791. The reversal of 4692312768 is 8672132964.

It is a super-2 number, since 2×4692312768² = 44035598225471643648, which contains 22 as substring.

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

Its product of digits (870912) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (4692312763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31491958 + ... + 31492106.

It is an arithmetic number, because the mean of its divisors is an integer number (34747200).

Almost surely, 2^4692312768 is an apocalyptic number.

4692312768 is a gapful number since it is divisible by the number (48) 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 4692312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783372800).

4692312768 is an abundant number, since it is smaller than the sum of its proper divisors (10874432832).

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

4692312768 is a wasteful number, since it uses less digits than its factorization.

4692312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 4692312768 is about 68500.4581590518. The cubic root of 4692312768 is about 1674.1549482662.

The spelling of 4692312768 in words is "four billion, six hundred ninety-two million, three hundred twelve thousand, seven hundred sixty-eight".