4765286400 has 384 divisors, whose sum is σ = 18072980160. Its totient is φ = 1085276160.

The previous prime is 4765286363. The next prime is 4765286411. The reversal of 4765286400 is 46825674.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17203062 + ... + 17203338.

Almost surely, 2^4765286400 is an apocalyptic number.

4765286400 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 4765286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9036490080).

4765286400 is an abundant number, since it is smaller than the sum of its proper divisors (13307693760).

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

4765286400 is an equidigital number, since it uses as much as digits as its factorization.

4765286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 4765286400 is about 69031.0538815684. The cubic root of 4765286400 is about 1682.7890180993.

The spelling of 4765286400 in words is "four billion, seven hundred sixty-five million, two hundred eighty-six thousand, four hundred".