4764789901440 has 384 divisors, whose sum is σ = 16987539179520. Its totient is φ = 1229851607040.

The previous prime is 4764789901411. The next prime is 4764789901477. The reversal of 4764789901440 is 441099874674.

4764789901440 is a `hidden beast` number, since 4 + 76 + 47 + 89 + 9 + 0 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29912887 + ... + 30071753.

It is an arithmetic number, because the mean of its divisors is an integer number (44238383280).

Almost surely, 2^{4764789901440} is an apocalyptic number.

4764789901440 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 4764789901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493769589760).

4764789901440 is an abundant number, since it is smaller than the sum of its proper divisors (12222749278080).

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

4764789901440 is a wasteful number, since it uses less digits than its factorization.

4764789901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159060 (or 159045 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4764789901440 in words is "four trillion, seven hundred sixty-four billion, seven hundred eighty-nine million, nine hundred one thousand, four hundred forty".