10760613480 has 384 divisors, whose sum is σ = 38242713600. Its totient is φ = 2715939072.

The previous prime is 10760613433. The next prime is 10760613499. The reversal of 10760613480 is 8431606701.

10760613480 is a `hidden beast` number, since 1 + 0 + 7 + 606 + 1 + 3 + 48 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 28391931 + ... + 28392309.

It is an arithmetic number, because the mean of its divisors is an integer number (99590400).

Almost surely, 2^10760613480 is an apocalyptic number.

10760613480 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 10760613480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121356800).

10760613480 is an abundant number, since it is smaller than the sum of its proper divisors (27482100120).

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

10760613480 is a wasteful number, since it uses less digits than its factorization.

10760613480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10760613480 in words is "ten billion, seven hundred sixty million, six hundred thirteen thousand, four hundred eighty".