1076392384704 has 672 divisors, whose sum is σ = 3889862086656. Its totient is φ = 276999782400.

The previous prime is 1076392384703. The next prime is 1076392384741. The reversal of 1076392384704 is 4074832936701.

1076392384704 is a `hidden beast` number, since 10 + 76 + 3 + 92 + 3 + 8 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1076392384703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1480594389 + ... + 1480595115.

It is an arithmetic number, because the mean of its divisors is an integer number (5788485248).

Almost surely, 2^{1076392384704} is an apocalyptic number.

1076392384704 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 1076392384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944931043328).

1076392384704 is an abundant number, since it is smaller than the sum of its proper divisors (2813469701952).

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

1076392384704 is a wasteful number, since it uses less digits than its factorization.

1076392384704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1076392384704 in words is "one trillion, seventy-six billion, three hundred ninety-two million, three hundred eighty-four thousand, seven hundred four".