10661739480 has 768 divisors, whose sum is σ = 43758489600. Its totient is φ = 2299207680.

The previous prime is 10661739469. The next prime is 10661739523. The reversal of 10661739480 is 8493716601.

It is a happy number.

10661739480 is a `hidden beast` number, since 106 + 61 + 7 + 3 + 9 + 480 = 666.

It is a super-2 number, since 2×10661739480² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 109914792 + ... + 109914888.

It is an arithmetic number, because the mean of its divisors is an integer number (56977200).

Almost surely, 2^10661739480 is an apocalyptic number.

10661739480 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 10661739480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879244800).

10661739480 is an abundant number, since it is smaller than the sum of its proper divisors (33096750120).

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

10661739480 is a wasteful number, since it uses less digits than its factorization.

10661739480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10661739480 in words is "ten billion, six hundred sixty-one million, seven hundred thirty-nine thousand, four hundred eighty".