1015343746560 has 960 divisors, whose sum is σ = 4243342783680. Its totient is φ = 221042442240.

The previous prime is 1015343746513. The next prime is 1015343746609. The reversal of 1015343746560 is 656473435101.

1015343746560 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 43 + 7 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 121900476 + ... + 121908804.

It is an arithmetic number, because the mean of its divisors is an integer number (4420148733).

Almost surely, 2^{1015343746560} is an apocalyptic number.

1015343746560 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 1015343746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121671391840).

1015343746560 is an abundant number, since it is smaller than the sum of its proper divisors (3227999037120).

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

1015343746560 is a wasteful number, since it uses less digits than its factorization.

1015343746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1015343746560 in words is "one trillion, fifteen billion, three hundred forty-three million, seven hundred forty-six thousand, five hundred sixty".