1079564048640 has 1944 divisors, whose sum is σ = 4909934195712. Its totient is φ = 216543559680.

The previous prime is 1079564048597. The next prime is 1079564048663. The reversal of 1079564048640 is 468404659701.

1079564048640 is a `hidden beast` number, since 1 + 0 + 79 + 56 + 4 + 0 + 486 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8500504257 + ... + 8500504383.

Almost surely, 2^{1079564048640} is an apocalyptic number.

1079564048640 is a gapful number since it is divisible by the number (10) 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 1079564048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454967097856).

1079564048640 is an abundant number, since it is smaller than the sum of its proper divisors (3830370147072).

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

1079564048640 is a wasteful number, since it uses less digits than its factorization.

1079564048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1079564048640 in words is "one trillion, seventy-nine billion, five hundred sixty-four million, forty-eight thousand, six hundred forty".