4839099632640 has 2112 divisors, whose sum is σ = 21734777433600. Its totient is φ = 1011985809408.

The previous prime is 4839099632579. The next prime is 4839099632671. The reversal of 4839099632640 is 462369909384.

4839099632640 is a `hidden beast` number, since 48 + 390 + 99 + 63 + 2 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15762539367 + ... + 15762539673.

It is an arithmetic number, because the mean of its divisors is an integer number (10291087800).

Almost surely, 2^{4839099632640} is an apocalyptic number.

4839099632640 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 4839099632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867388716800).

4839099632640 is an abundant number, since it is smaller than the sum of its proper divisors (16895677800960).

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

4839099632640 is a wasteful number, since it uses less digits than its factorization.

4839099632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 4839099632640 in words is "four trillion, eight hundred thirty-nine billion, ninety-nine million, six hundred thirty-two thousand, six hundred forty".