10633461662640 has 80 divisors (see below), whose sum is σ = 33290104805856. Its totient is φ = 2807514624000.

The previous prime is 10633461662627. The next prime is 10633461662743. The reversal of 10633461662640 is 4626616433601.

It is a happy number.

10633461662640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10633461662640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10633461662640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219312841 + ... + 219361320.

Almost surely, 2^{10633461662640} is an apocalyptic number.

10633461662640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10633461662640 is an abundant number, since it is smaller than the sum of its proper divisors (22656643143216).

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

10633461662640 is a wasteful number, since it uses less digits than its factorization.

10633461662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438674278 (or 438674272 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 10633461662640 in words is "ten trillion, six hundred thirty-three billion, four hundred sixty-one million, six hundred sixty-two thousand, six hundred forty".