10149768000 has 336 divisors, whose sum is σ = 37567118160. Its totient is φ = 2612736000.

The previous prime is 10149767987. The next prime is 10149768007. The reversal of 10149768000 is 86794101.

10149768000 is a `hidden beast` number, since 101 + 497 + 68 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1158177024 + 8991590976 = 34032^2 + 94824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10149768007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2085570 + ... + 2090430.

Almost surely, 2^10149768000 is an apocalyptic number.

10149768000 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 10149768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18783559080).

10149768000 is an abundant number, since it is smaller than the sum of its proper divisors (27417350160).

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

10149768000 is a wasteful number, since it uses less digits than its factorization.

10149768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10149768000 in words is "ten billion, one hundred forty-nine million, seven hundred sixty-eight thousand".