7806123075136 has 63 divisors (see below), whose sum is σ = 15921933424929. Its totient is φ = 3797171059968.

The previous prime is 7806123075077. The next prime is 7806123075169. The reversal of 7806123075136 is 6315703216087.

The square root of 7806123075136 is 2793944.

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

It can be written as a sum of positive squares in only one way, i.e., 6985026126400 + 821096948736 = 2642920^2 + 906144^2 .

It is a super-2 number, since 2×7806123075136² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7806123075136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 827002705 + ... + 827012143.

It is an arithmetic number, because the mean of its divisors is an integer number (252729101983).

Almost surely, 2^{7806123075136} is an apocalyptic number.

7806123075136 is the 2793944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7806123075136

7806123075136 is an abundant number, since it is smaller than the sum of its proper divisors (8115810349793).

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

7806123075136 is an frugal number, since it uses more digits than its factorization.

7806123075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18964 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 7806123075136 by its sum of digits (49), we get a square (382500030681664 = 19557608²).

The spelling of 7806123075136 in words is "seven trillion, eight hundred six billion, one hundred twenty-three million, seventy-five thousand, one hundred thirty-six".