4637400642 has 96 divisors (see below), whose sum is σ = 12258155520. Its totient is φ = 1237511520.

The previous prime is 4637400637. The next prime is 4637400751. The reversal of 4637400642 is 2460047364.

4637400642 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 4 + 0 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4637400597 and 4637400606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156333 + ... + 183615.

It is an arithmetic number, because the mean of its divisors is an integer number (127689120).

Almost surely, 2^4637400642 is an apocalyptic number.

4637400642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4637400642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129077760).

4637400642 is an abundant number, since it is smaller than the sum of its proper divisors (7620754878).

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

4637400642 is a wasteful number, since it uses less digits than its factorization.

4637400642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27388 (or 27385 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4637400642 is about 68098.4628460878. The cubic root of 4637400642 is about 1667.5986668793.

The spelling of 4637400642 in words is "four billion, six hundred thirty-seven million, four hundred thousand, six hundred forty-two".