10074818880 has 672 divisors, whose sum is σ = 41751650304. Its totient is φ = 2264868864.

The previous prime is 10074818861. The next prime is 10074818891. The reversal of 10074818880 is 8881847001.

10074818880 is a `hidden beast` number, since 10 + 0 + 7 + 481 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 45178449 + ... + 45178671.

It is an arithmetic number, because the mean of its divisors is an integer number (62130432).

Almost surely, 2^10074818880 is an apocalyptic number.

10074818880 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 10074818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20875825152).

10074818880 is an abundant number, since it is smaller than the sum of its proper divisors (31676831424).

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

10074818880 is an equidigital number, since it uses as much as digits as its factorization.

10074818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 10074818880 in words is "ten billion, seventy-four million, eight hundred eighteen thousand, eight hundred eighty".