1047068415360 has 576 divisors, whose sum is σ = 4096032829200. Its totient is φ = 253823569920.

The previous prime is 1047068415331. The next prime is 1047068415391. The reversal of 1047068415360 is 635148607401.

1047068415360 is a `hidden beast` number, since 1 + 0 + 4 + 70 + 6 + 8 + 41 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1047068415360³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46178106 + ... + 46200774.

Almost surely, 2^{1047068415360} is an apocalyptic number.

1047068415360 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 1047068415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048016414600).

1047068415360 is an abundant number, since it is smaller than the sum of its proper divisors (3048964413840).

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

1047068415360 is an frugal number, since it uses more digits than its factorization.

1047068415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22723 (or 22690 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1047068415360 in words is "one trillion, forty-seven billion, sixty-eight million, four hundred fifteen thousand, three hundred sixty".