4695768000 has 1008 divisors, whose sum is σ = 21492533088. Its totient is φ = 975744000.

The previous prime is 4695767941. The next prime is 4695768017. The reversal of 4695768000 is 8675964.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 426887995 + ... + 426888005.

Almost surely, 2^4695768000 is an apocalyptic number.

4695768000 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 4695768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746266544).

4695768000 is an abundant number, since it is smaller than the sum of its proper divisors (16796765088).

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

4695768000 is a wasteful number, since it uses less digits than its factorization.

4695768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4695768000 is about 68525.6740207639. The cubic root of 4695768000 is about 1674.5657744245.

The spelling of 4695768000 in words is "four billion, six hundred ninety-five million, seven hundred sixty-eight thousand".