4586120407764 has 432 divisors, whose sum is σ = 14925127246848. Its totient is φ = 1177590306816.

The previous prime is 4586120407657. The next prime is 4586120407769. The reversal of 4586120407764 is 4677040216854.

4586120407764 is a `hidden beast` number, since 4 + 58 + 6 + 120 + 407 + 7 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4586120407764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4586120407769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 422795389 + ... + 422806235.

It is an arithmetic number, because the mean of its divisors is an integer number (34548905664).

Almost surely, 2^{4586120407764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4586120407764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462563623424).

4586120407764 is an abundant number, since it is smaller than the sum of its proper divisors (10339006839084).

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

4586120407764 is a wasteful number, since it uses less digits than its factorization.

4586120407764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 4586120407764 in words is "four trillion, five hundred eighty-six billion, one hundred twenty million, four hundred seven thousand, seven hundred sixty-four".