4631346720 has 1728 divisors, whose sum is σ = 23716457856. Its totient is φ = 836075520.

The previous prime is 4631346689. The next prime is 4631346739. The reversal of 4631346720 is 276431364.

It is a happy number.

4631346720 is a `hidden beast` number, since 463 + 134 + 67 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 272432152 + ... + 272432168.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802).

Almost surely, 2^4631346720 is an apocalyptic number.

4631346720 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 4631346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11858228928).

4631346720 is an abundant number, since it is smaller than the sum of its proper divisors (19085111136).

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

4631346720 is a wasteful number, since it uses less digits than its factorization.

4631346720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4631346720 is about 68053.9985599671. The cubic root of 4631346720 is about 1666.8726920422.

The spelling of 4631346720 in words is "four billion, six hundred thirty-one million, three hundred forty-six thousand, seven hundred twenty".