10187432640 has 448 divisors, whose sum is σ = 44809989120. Its totient is φ = 2116730880.

The previous prime is 10187432561. The next prime is 10187432653. The reversal of 10187432640 is 4623478101.

10187432640 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 7 + 4 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 10187432595 and 10187432604.

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, 657624 + ... + 672936.

Almost surely, 2^10187432640 is an apocalyptic number.

10187432640 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 10187432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404994560).

10187432640 is an abundant number, since it is smaller than the sum of its proper divisors (34622556480).

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

10187432640 is a wasteful number, since it uses less digits than its factorization.

10187432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15357 (or 15341 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10187432640 in words is "ten billion, one hundred eighty-seven million, four hundred thirty-two thousand, six hundred forty".