4761514399824 has 480 divisors, whose sum is σ = 16942248960000. Its totient is φ = 1214383518720.

The previous prime is 4761514399787. The next prime is 4761514399843. The reversal of 4761514399824 is 4289934151674.

4761514399824 is a `hidden beast` number, since 4 + 7 + 6 + 1 + 514 + 3 + 9 + 98 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 690171127 + ... + 690178025.

It is an arithmetic number, because the mean of its divisors is an integer number (35296352000).

Almost surely, 2^{4761514399824} 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 4761514399824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8471124480000).

4761514399824 is an abundant number, since it is smaller than the sum of its proper divisors (12180734560176).

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

4761514399824 is a wasteful number, since it uses less digits than its factorization.

4761514399824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663 (or 8654 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 4761514399824 in words is "four trillion, seven hundred sixty-one billion, five hundred fourteen million, three hundred ninety-nine thousand, eight hundred twenty-four".