20634294320640 has 5760 divisors, whose sum is σ = 106492434048000. Its totient is φ = 3628567756800.

The previous prime is 20634294320611. The next prime is 20634294320663. The reversal of 20634294320640 is 4602349243602.

20634294320640 is a `hidden beast` number, since 2 + 0 + 6 + 34 + 294 + 320 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×20634294320640² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 665622397425 + ... + 665622397455.

It is an arithmetic number, because the mean of its divisors is an integer number (18488269800).

Almost surely, 2^{20634294320640} is an apocalyptic number.

20634294320640 is a gapful number since it is divisible by the number (20) 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 20634294320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53246217024000).

20634294320640 is an abundant number, since it is smaller than the sum of its proper divisors (85858139727360).

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

20634294320640 is a wasteful number, since it uses less digits than its factorization.

20634294320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 20634294320640 in words is "twenty trillion, six hundred thirty-four billion, two hundred ninety-four million, three hundred twenty thousand, six hundred forty".