4648976640 has 576 divisors, whose sum is σ = 20579973120. Its totient is φ = 965468160.

The previous prime is 4648976623. The next prime is 4648976641. The reversal of 4648976640 is 466798464.

4648976640 is a `hidden beast` number, since 464 + 89 + 7 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4648976640² = 43225967598531379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4648976641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2660247 + ... + 2661993.

It is an arithmetic number, because the mean of its divisors is an integer number (35729120).

Almost surely, 2^4648976640 is an apocalyptic number.

4648976640 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 4648976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289986560).

4648976640 is an abundant number, since it is smaller than the sum of its proper divisors (15930996480).

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

4648976640 is a wasteful number, since it uses less digits than its factorization.

4648976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 4648976640 is about 68183.4044324570. The cubic root of 4648976640 is about 1668.9850813876.

The spelling of 4648976640 in words is "four billion, six hundred forty-eight million, nine hundred seventy-six thousand, six hundred forty".