4667900640 has 384 divisors, whose sum is σ = 16663449600. Its totient is φ = 1090437120.

The previous prime is 4667900617. The next prime is 4667900659. The reversal of 4667900640 is 460097664.

It is a junction number, because it is equal to n+sod(n) for n = 4667900592 and 4667900601.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11412756 + ... + 11413164.

It is an arithmetic number, because the mean of its divisors is an integer number (43394400).

Almost surely, 2^4667900640 is an apocalyptic number.

4667900640 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 4667900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331724800).

4667900640 is an abundant number, since it is smaller than the sum of its proper divisors (11995548960).

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

4667900640 is a wasteful number, since it uses less digits than its factorization.

4667900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 4667900640 is about 68322.0362694204. The cubic root of 4667900640 is about 1671.2465909591.

The spelling of 4667900640 in words is "four billion, six hundred sixty-seven million, nine hundred thousand, six hundred forty".