10167742080 has 896 divisors, whose sum is σ = 40670092800. Its totient is φ = 2418647040.

The previous prime is 10167742063. The next prime is 10167742121. The reversal of 10167742080 is 8024776101.

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 111 ways as a sum of consecutive naturals, for example, 274803822 + ... + 274803858.

Almost surely, 2^10167742080 is an apocalyptic number.

10167742080 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 10167742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20335046400).

10167742080 is an abundant number, since it is smaller than the sum of its proper divisors (30502350720).

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

10167742080 is an equidigital number, since it uses as much as digits as its factorization.

10167742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10167742080 in words is "ten billion, one hundred sixty-seven million, seven hundred forty-two thousand, eighty".