4927764785328 has 2400 divisors, whose sum is σ = 20366399592000. Its totient is φ = 1131488870400.

The previous prime is 4927764785309. The next prime is 4927764785341. The reversal of 4927764785328 is 8235874677294.

4927764785328 is a `hidden beast` number, since 4 + 9 + 27 + 7 + 64 + 7 + 8 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14119669698 + ... + 14119670046.

It is an arithmetic number, because the mean of its divisors is an integer number (8485999830).

Almost surely, 2^{4927764785328} is an apocalyptic number.

4927764785328 is a gapful number since it is divisible by the number (48) 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 4927764785328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183199796000).

4927764785328 is an abundant number, since it is smaller than the sum of its proper divisors (15438634806672).

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

4927764785328 is a wasteful number, since it uses less digits than its factorization.

4927764785328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 459 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 4927764785328 in words is "four trillion, nine hundred twenty-seven billion, seven hundred sixty-four million, seven hundred eighty-five thousand, three hundred twenty-eight".