4764901440 has 448 divisors, whose sum is σ = 17746089984. Its totient is φ = 1072300032.

The previous prime is 4764901429. The next prime is 4764901441. The reversal of 4764901440 is 441094674.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4764901441) 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, 7849617 + ... + 7850223.

It is an arithmetic number, because the mean of its divisors is an integer number (39611808).

Almost surely, 2^4764901440 is an apocalyptic number.

4764901440 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 4764901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873044992).

4764901440 is an abundant number, since it is smaller than the sum of its proper divisors (12981188544).

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

4764901440 is a wasteful number, since it uses less digits than its factorization.

4764901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4764901440 is about 69028.2655149324. The cubic root of 4764901440 is about 1682.7437026065.

The spelling of 4764901440 in words is "four billion, seven hundred sixty-four million, nine hundred one thousand, four hundred forty".