4695790320 has 480 divisors, whose sum is σ = 18665180352. Its totient is φ = 1086898176.

The previous prime is 4695790289. The next prime is 4695790349. The reversal of 4695790320 is 230975964.

It is a happy number.

4695790320 is a `hidden beast` number, since 46 + 9 + 579 + 0 + 32 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4295694 + ... + 4296786.

Almost surely, 2^4695790320 is an apocalyptic number.

4695790320 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 4695790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332590176).

4695790320 is an abundant number, since it is smaller than the sum of its proper divisors (13969390032).

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

4695790320 is a wasteful number, since it uses less digits than its factorization.

4695790320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 4695790320 is about 68525.8368792385. The cubic root of 4695790320 is about 1674.5684276112.

The spelling of 4695790320 in words is "four billion, six hundred ninety-five million, seven hundred ninety thousand, three hundred twenty".