10074909600 has 1080 divisors, whose sum is σ = 45258665760. Its totient is φ = 2168570880.

The previous prime is 10074909571. The next prime is 10074909661. The reversal of 10074909600 is 690947001.

10074909600 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 49 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 60328717 + ... + 60328883.

It is an arithmetic number, because the mean of its divisors is an integer number (41906172).

Almost surely, 2^10074909600 is an apocalyptic number.

10074909600 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 10074909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629332880).

10074909600 is an abundant number, since it is smaller than the sum of its proper divisors (35183756160).

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

10074909600 is a wasteful number, since it uses less digits than its factorization.

10074909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10074909600 in words is "ten billion, seventy-four million, nine hundred nine thousand, six hundred".