4640993280 has 832 divisors, whose sum is σ = 20759270400. Its totient is φ = 955514880.

The previous prime is 4640993249. The next prime is 4640993297. The reversal of 4640993280 is 823990464.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 42577866 + ... + 42577974.

Almost surely, 2^4640993280 is an apocalyptic number.

4640993280 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 4640993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10379635200).

4640993280 is an abundant number, since it is smaller than the sum of its proper divisors (16118277120).

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

4640993280 is a wasteful number, since it uses less digits than its factorization.

4640993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4640993280 is about 68124.8359998026. The cubic root of 4640993280 is about 1668.0291905248.

The spelling of 4640993280 in words is "four billion, six hundred forty million, nine hundred ninety-three thousand, two hundred eighty".