10074721680 has 320 divisors, whose sum is σ = 35579865600. Its totient is φ = 2652300288.

The previous prime is 10074721673. The next prime is 10074721733. The reversal of 10074721680 is 8612747001.

10074721680 is a `hidden beast` number, since 100 + 7 + 472 + 1 + 6 + 80 = 666.

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

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, 15571117 + ... + 15571763.

It is an arithmetic number, because the mean of its divisors is an integer number (111187080).

Almost surely, 2^10074721680 is an apocalyptic number.

10074721680 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 10074721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17789932800).

10074721680 is an abundant number, since it is smaller than the sum of its proper divisors (25505143920).

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

10074721680 is an frugal number, since it uses more digits than its factorization.

10074721680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 746 counting only the distinct ones).

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

The spelling of 10074721680 in words is "ten billion, seventy-four million, seven hundred twenty-one thousand, six hundred eighty".