4631139360 has 240 divisors, whose sum is σ = 16694004096. Its totient is φ = 1208535552.

The previous prime is 4631139349. The next prime is 4631139389. The reversal of 4631139360 is 639311364.

4631139360 is a `hidden beast` number, since 4 + 631 + 13 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 605319 + ... + 612921.

Almost surely, 2^4631139360 is an apocalyptic number.

4631139360 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 4631139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347002048).

4631139360 is an abundant number, since it is smaller than the sum of its proper divisors (12062864736).

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

4631139360 is a wasteful number, since it uses less digits than its factorization.

4631139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 4631139360 is about 68052.4750468343. The cubic root of 4631139360 is about 1666.8478146216.

The spelling of 4631139360 in words is "four billion, six hundred thirty-one million, one hundred thirty-nine thousand, three hundred sixty".