4632857760 has 96 divisors (see below), whose sum is σ = 14700232512. Its totient is φ = 1226393600.

The previous prime is 4632857759. The next prime is 4632857807. The reversal of 4632857760 is 677582364.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30535 + ... + 100985.

It is an arithmetic number, because the mean of its divisors is an integer number (153127422).

Almost surely, 2^4632857760 is an apocalyptic number.

4632857760 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 4632857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350116256).

4632857760 is an abundant number, since it is smaller than the sum of its proper divisors (10067374752).

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

4632857760 is a wasteful number, since it uses less digits than its factorization.

4632857760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70606 (or 70598 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 4632857760 is about 68065.0994269457. The cubic root of 4632857760 is about 1667.0539523100.

The spelling of 4632857760 in words is "four billion, six hundred thirty-two million, eight hundred fifty-seven thousand, seven hundred sixty".