1076100663456 has 576 divisors, whose sum is σ = 4111469107200. Its totient is φ = 268866210816.

The previous prime is 1076100663431. The next prime is 1076100663461. The reversal of 1076100663456 is 6543660016701.

1076100663456 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 1 + 0 + 0 + 6 + 634 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13404685 + ... + 13484723.

It is an arithmetic number, because the mean of its divisors is an integer number (7137967200).

Almost surely, 2^{1076100663456} is an apocalyptic number.

1076100663456 is a gapful number since it is divisible by the number (16) 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 1076100663456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055734553600).

1076100663456 is an abundant number, since it is smaller than the sum of its proper divisors (3035368443744).

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

1076100663456 is a wasteful number, since it uses less digits than its factorization.

1076100663456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80103 (or 80083 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1076100663456 in words is "one trillion, seventy-six billion, one hundred million, six hundred sixty-three thousand, four hundred fifty-six".