4890784752000 has 1024 divisors, whose sum is σ = 20638755072000. Its totient is φ = 1115132313600.

The previous prime is 4890784751989. The next prime is 4890784752031. The reversal of 4890784752000 is 2574870984.

It is a happy number.

4890784752000 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 78 + 47 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1381966231 + ... + 1381969769.

It is an arithmetic number, because the mean of its divisors is an integer number (20155034250).

Almost surely, 2^{4890784752000} is an apocalyptic number.

4890784752000 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 4890784752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319377536000).

4890784752000 is an abundant number, since it is smaller than the sum of its proper divisors (15747970320000).

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

4890784752000 is a wasteful number, since it uses less digits than its factorization.

4890784752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 4890784752000 in words is "four trillion, eight hundred ninety billion, seven hundred eighty-four million, seven hundred fifty-two thousand".