1000076140560 has 320 divisors, whose sum is σ = 3667568689152. Its totient is φ = 220657747968.

The previous prime is 1000076140507. The next prime is 1000076140561. The reversal of 1000076140560 is 650416700001.

It is a super-2 number, since 2×1000076140560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1000076140561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7830979 + ... + 7957661.

Almost surely, 2^{1000076140560} is an apocalyptic number.

1000076140560 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 1000076140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833784344576).

1000076140560 is an abundant number, since it is smaller than the sum of its proper divisors (2667492548592).

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

1000076140560 is a wasteful number, since it uses less digits than its factorization.

1000076140560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126870 (or 126864 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 1000076140560 in words is "one trillion, seventy-six million, one hundred forty thousand, five hundred sixty".