207640419420690 has 256 divisors, whose sum is σ = 569757840998400. Its totient is φ = 53784370987776.

The previous prime is 207640419420647. The next prime is 207640419420781. The reversal of 207640419420690 is 96024914046702.

207640419420690 is a `hidden beast` number, since 2 + 0 + 76 + 404 + 1 + 94 + 20 + 69 + 0 = 666.

It is a super-2 number, since 2×207640419420690² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1711350807 + ... + 1711472133.

It is an arithmetic number, because the mean of its divisors is an integer number (2225616566400).

Almost surely, 2^{207640419420690} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207640419420690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284878920499200).

207640419420690 is an abundant number, since it is smaller than the sum of its proper divisors (362117421577710).

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

207640419420690 is a wasteful number, since it uses less digits than its factorization.

207640419420690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122406 (or 122400 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 207640419420690 in words is "two hundred seven trillion, six hundred forty billion, four hundred nineteen million, four hundred twenty thousand, six hundred ninety".