1013760000 has 450 divisors, whose sum is σ = 3992200212. Its totient is φ = 245760000.

The previous prime is 1013759987. The next prime is 1013760043. The reversal of 1013760000 is 673101.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92159995 + ... + 92160005.

Almost surely, 2^1013760000 is an apocalyptic number.

1013760000 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 1013760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996100106).

1013760000 is an abundant number, since it is smaller than the sum of its proper divisors (2978440212).

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

1013760000 is an frugal number, since it uses more digits than its factorization.

1013760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1013760000 is about 31839.5979874118. The cubic root of 1013760000 is about 1004.5657885151.

The spelling of 1013760000 in words is "one billion, thirteen million, seven hundred sixty thousand".