4864928640 has 768 divisors, whose sum is σ = 19352908800. Its totient is φ = 1028751360.

The previous prime is 4864928599. The next prime is 4864928681. The reversal of 4864928640 is 468294684.

It is an interprime number because it is at equal distance from previous prime (4864928599) and next prime (4864928681).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103509097 + ... + 103509143.

It is an arithmetic number, because the mean of its divisors is an integer number (25199100).

Almost surely, 2^4864928640 is an apocalyptic number.

4864928640 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 4864928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676454400).

4864928640 is an abundant number, since it is smaller than the sum of its proper divisors (14487980160).

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

4864928640 is a wasteful number, since it uses less digits than its factorization.

4864928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The square root of 4864928640 is about 69749.0404235069. The cubic root of 4864928640 is about 1694.4372545602.

The spelling of 4864928640 in words is "four billion, eight hundred sixty-four million, nine hundred twenty-eight thousand, six hundred forty".