4760062366400 has 504 divisors, whose sum is σ = 13628681718960. Its totient is φ = 1632295526400.

The previous prime is 4760062366349. The next prime is 4760062366417. The reversal of 4760062366400 is 46632600674.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 241409342 + ... + 241429058.

Almost surely, 2^{4760062366400} is an apocalyptic number.

4760062366400 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 4760062366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814340859480).

4760062366400 is an abundant number, since it is smaller than the sum of its proper divisors (8868619352560).

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

4760062366400 is a wasteful number, since it uses less digits than its factorization.

4760062366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19833 (or 19807 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 4760062366400 in words is "four trillion, seven hundred sixty billion, sixty-two million, three hundred sixty-six thousand, four hundred".