1063765664640 has 2688 divisors, whose sum is σ = 4880411136000. Its totient is φ = 220096880640.

The previous prime is 1063765664623. The next prime is 1063765664677. The reversal of 1063765664640 is 464665673601.

1063765664640 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 76 + 566 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×1063765664640² (a number of 25 digits) contains 22 as substring.

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 335 ways as a sum of consecutive naturals, for example, 13465388121 + ... + 13465388199.

Almost surely, 2^{1063765664640} is an apocalyptic number.

1063765664640 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 1063765664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440205568000).

1063765664640 is an abundant number, since it is smaller than the sum of its proper divisors (3816645471360).

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

1063765664640 is an equidigital number, since it uses as much as digits as its factorization.

1063765664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 1063765664640 in words is "one trillion, sixty-three billion, seven hundred sixty-five million, six hundred sixty-four thousand, six hundred forty".