5777069691456 has 1344 divisors, whose sum is σ = 20903353712640. Its totient is φ = 1531272314880.

The previous prime is 5777069691433. The next prime is 5777069691473. The reversal of 5777069691456 is 6541969607775.

5777069691456 is a `hidden beast` number, since 57 + 7 + 7 + 0 + 69 + 69 + 1 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45488737665 + ... + 45488737791.

It is an arithmetic number, because the mean of its divisors is an integer number (15553090560).

Almost surely, 2^{5777069691456} is an apocalyptic number.

5777069691456 is a gapful number since it is divisible by the number (56) 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 5777069691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10451676856320).

5777069691456 is an abundant number, since it is smaller than the sum of its proper divisors (15126284021184).

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

5777069691456 is a wasteful number, since it uses less digits than its factorization.

5777069691456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 5777069691456 in words is "five trillion, seven hundred seventy-seven billion, sixty-nine million, six hundred ninety-one thousand, four hundred fifty-six".