10063942640640 has 1760 divisors, whose sum is σ = 44368517090304. Its totient is φ = 2128887152640.

The previous prime is 10063942640629. The next prime is 10063942640641. The reversal of 10063942640640 is 4604624936001.

10063942640640 is a `hidden beast` number, since 1 + 0 + 0 + 639 + 4 + 2 + 6 + 4 + 0 + 6 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10063942640641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3010450809 + ... + 3010454151.

Almost surely, 2^{10063942640640} is an apocalyptic number.

10063942640640 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 10063942640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184258545152).

10063942640640 is an abundant number, since it is smaller than the sum of its proper divisors (34304574449664).

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

10063942640640 is a wasteful number, since it uses less digits than its factorization.

10063942640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 10063942640640 in words is "ten trillion, sixty-three billion, nine hundred forty-two million, six hundred forty thousand, six hundred forty".