10900646396640 has 5760 divisors, whose sum is σ = 58276809980928. Its totient is φ = 1876153466880.

The previous prime is 10900646396609. The next prime is 10900646396671. The reversal of 10900646396640 is 4669364600901.

10900646396640 is a `hidden beast` number, since 1 + 0 + 90 + 0 + 6 + 463 + 96 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10900646396609) and next prime (10900646396671).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 35506991367 + ... + 35506991673.

Almost surely, 2^{10900646396640} is an apocalyptic number.

10900646396640 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 10900646396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29138404990464).

10900646396640 is an abundant number, since it is smaller than the sum of its proper divisors (47376163584288).

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

10900646396640 is a wasteful number, since it uses less digits than its factorization.

10900646396640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 10900646396640 in words is "ten trillion, nine hundred billion, six hundred forty-six million, three hundred ninety-six thousand, six hundred forty".