4768764062500 has 81 divisors (see below), whose sum is σ = 10437640652019. Its totient is φ = 1906413750000.

The previous prime is 4768764062483. The next prime is 4768764062533. The reversal of 4768764062500 is 52604678674.

It is a happy number.

The square root of 4768764062500 is 2183750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3390525630244 + 1378238432256 = 1841338^2 + 1173984^2 .

It is a super-2 number, since 2×4768764062500² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2729686627 + ... + 2729688373.

Almost surely, 2^{4768764062500} is an apocalyptic number.

4768764062500 is the 2183750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768764062500

4768764062500 is an abundant number, since it is smaller than the sum of its proper divisors (5668876589519).

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

4768764062500 is an frugal number, since it uses more digits than its factorization.

4768764062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 4768764062500 in words is "four trillion, seven hundred sixty-eight billion, seven hundred sixty-four million, sixty-two thousand, five hundred".