10365675840 has 672 divisors, whose sum is σ = 41052902400. Its totient is φ = 2458460160.

The previous prime is 10365675821. The next prime is 10365675917. The reversal of 10365675840 is 4857656301.

10365675840 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 5 + 67 + 584 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 45264846 + ... + 45265074.

Almost surely, 2^10365675840 is an apocalyptic number.

10365675840 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 10365675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526451200).

10365675840 is an abundant number, since it is smaller than the sum of its proper divisors (30687226560).

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

10365675840 is a wasteful number, since it uses less digits than its factorization.

10365675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10365675840 in words is "ten billion, three hundred sixty-five million, six hundred seventy-five thousand, eight hundred forty".