10684412640000 has 1080 divisors, whose sum is σ = 43821800934912. Its totient is φ = 2477460480000.

The previous prime is 10684412639987. The next prime is 10684412640061. The reversal of 10684412640000 is 4621448601.

It is a happy number.

10684412640000 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 4 + 4 + 1 + 2 + 640 + 0 + 0 + 0 = 666.

10684412640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10684412640000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 364305337 + ... + 364334663.

Almost surely, 2^{10684412640000} is an apocalyptic number.

10684412640000 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 10684412640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21910900467456).

10684412640000 is an abundant number, since it is smaller than the sum of its proper divisors (33137388294912).

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

10684412640000 is a wasteful number, since it uses less digits than its factorization.

10684412640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29403 (or 29371 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10684412640000 in words is "ten trillion, six hundred eighty-four billion, four hundred twelve million, six hundred forty thousand".