6777608251456 has 63 divisors (see below), whose sum is σ = 15645459670029. Its totient is φ = 2904626769408.

The previous prime is 6777608251399. The next prime is 6777608251483. The reversal of 6777608251456 is 6541528067776.

The square root of 6777608251456 is 2603384.

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., 2740402133056 + 4037206118400 = 1655416^2 + 2009280^2 .

It is a super-2 number, since 2×6777608251456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 145766260 + ... + 145812748.

It is an arithmetic number, because the mean of its divisors is an integer number (248340629683).

Almost surely, 2^{6777608251456} is an apocalyptic number.

6777608251456 is the 2603384-th square number.

It is an amenable number.

6777608251456 is an abundant number, since it is smaller than the sum of its proper divisors (8867851418573).

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

6777608251456 is an frugal number, since it uses more digits than its factorization.

6777608251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93004 (or 46498 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 64.

Multiplying 6777608251456 by its sum of digits (64), we get a square (433766928093184 = 20827072²).

6777608251456 divided by its sum of digits (64) gives a square (105900128929 = 325423²).

The spelling of 6777608251456 in words is "six trillion, seven hundred seventy-seven billion, six hundred eight million, two hundred fifty-one thousand, four hundred fifty-six".