4351630464 has 96 divisors (see below), whose sum is σ = 12535473600. Its totient is φ = 1449014784.

The previous prime is 4351630453. The next prime is 4351630483. The reversal of 4351630464 is 4640361534.

4351630464 is a `hidden beast` number, since 4 + 35 + 163 + 0 + 464 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794757 + ... + 1797179.

It is an arithmetic number, because the mean of its divisors is an integer number (130577850).

Almost surely, 2^4351630464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4351630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267736800).

4351630464 is an abundant number, since it is smaller than the sum of its proper divisors (8183843136).

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

4351630464 is a wasteful number, since it uses less digits than its factorization.

4351630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4351630464 is about 65966.8891490269. The cubic root of 4351630464 is about 1632.6158287206.

Adding to 4351630464 its reverse (4640361534), we get a palindrome (8991991998).

The spelling of 4351630464 in words is "four billion, three hundred fifty-one million, six hundred thirty thousand, four hundred sixty-four".