10034074687000 has 256 divisors, whose sum is σ = 29069174534400. Its totient is φ = 3175614374400.

The previous prime is 10034074686997. The next prime is 10034074687033. The reversal of 10034074687000 is 78647043001.

It is a super-3 number, since 3×10034074687000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15052774 + ... + 15705226.

It is an arithmetic number, because the mean of its divisors is an integer number (113551463025).

Almost surely, 2^{10034074687000} is an apocalyptic number.

10034074687000 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 10034074687000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534587267200).

10034074687000 is an abundant number, since it is smaller than the sum of its proper divisors (19035099847400).

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

10034074687000 is an equidigital number, since it uses as much as digits as its factorization.

10034074687000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652520 (or 652480 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 10034074687000 in words is "ten trillion, thirty-four billion, seventy-four million, six hundred eighty-seven thousand".