1077776086464 has 1008 divisors, whose sum is σ = 4122268819200. Its totient is φ = 275042718720.

The previous prime is 1077776086451. The next prime is 1077776086469. The reversal of 1077776086464 is 4646806777701.

1077776086464 is a `hidden beast` number, since 10 + 7 + 7 + 7 + 7 + 608 + 6 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077776086469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 604472517 + ... + 604474299.

It is an arithmetic number, because the mean of its divisors is an integer number (4089552400).

Almost surely, 2^{1077776086464} is an apocalyptic number.

1077776086464 is a gapful number since it is divisible by the number (14) 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 1077776086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061134409600).

1077776086464 is an abundant number, since it is smaller than the sum of its proper divisors (3044492732736).

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

1077776086464 is a wasteful number, since it uses less digits than its factorization.

1077776086464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 1077776086464 in words is "one trillion, seventy-seven billion, seven hundred seventy-six million, eighty-six thousand, four hundred sixty-four".