4661822564784 has 960 divisors, whose sum is σ = 18285447513600. Its totient is φ = 1120263782400.

The previous prime is 4661822564779. The next prime is 4661822564807. The reversal of 4661822564784 is 4874652281664.

It is a happy number.

4661822564784 is a `hidden beast` number, since 4 + 6 + 61 + 8 + 2 + 2 + 564 + 7 + 8 + 4 = 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, 233536564 + ... + 233556524.

It is an arithmetic number, because the mean of its divisors is an integer number (19047341160).

Almost surely, 2^{4661822564784} is an apocalyptic number.

4661822564784 is a gapful number since it is divisible by the number (44) 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 4661822564784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142723756800).

4661822564784 is an abundant number, since it is smaller than the sum of its proper divisors (13623624948816).

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

4661822564784 is a wasteful number, since it uses less digits than its factorization.

4661822564784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20079 (or 20060 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 4661822564784 in words is "four trillion, six hundred sixty-one billion, eight hundred twenty-two million, five hundred sixty-four thousand, seven hundred eighty-four".