4764085956 has 216 divisors, whose sum is σ = 15162638400. Its totient is φ = 1301686848.

The previous prime is 4764085943. The next prime is 4764085961. The reversal of 4764085956 is 6595804674.

4764085956 is a `hidden beast` number, since 4 + 7 + 6 + 40 + 8 + 595 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093270 + ... + 1097618.

It is an arithmetic number, because the mean of its divisors is an integer number (70197400).

Almost surely, 2^4764085956 is an apocalyptic number.

4764085956 is a gapful number since it is divisible by the number (46) 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 4764085956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581319200).

4764085956 is an abundant number, since it is smaller than the sum of its proper divisors (10398552444).

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

4764085956 is a wasteful number, since it uses less digits than its factorization.

4764085956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4764085956 is about 69022.3583775576. The cubic root of 4764085956 is about 1682.6477000011.

The spelling of 4764085956 in words is "four billion, seven hundred sixty-four million, eighty-five thousand, nine hundred fifty-six".