13762661000 has 192 divisors, whose sum is σ = 35762912640. Its totient is φ = 4953168000.

The previous prime is 13762660987. The next prime is 13762661027. The reversal of 13762661000 is 16626731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12946469 + ... + 12947531.

It is an arithmetic number, because the mean of its divisors is an integer number (186265170).

Almost surely, 2^13762661000 is an apocalyptic number.

13762661000 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 13762661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881456320).

13762661000 is an abundant number, since it is smaller than the sum of its proper divisors (22000251640).

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

13762661000 is a wasteful number, since it uses less digits than its factorization.

13762661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 13762661000 in words is "thirteen billion, seven hundred sixty-two million, six hundred sixty-one thousand".