641263526784 has 320 divisors, whose sum is σ = 2057853243600. Its totient is φ = 197562654720.

The previous prime is 641263526747. The next prime is 641263526797. The reversal of 641263526784 is 487625362146.

641263526784 is a `hidden beast` number, since 6 + 41 + 2 + 6 + 3 + 526 + 78 + 4 = 666.

It is a super-2 number, since 2×641263526784² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 641263526784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8036974 + ... + 8116370.

Almost surely, 2^641263526784 is an apocalyptic number.

641263526784 is a gapful number since it is divisible by the number (64) 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 641263526784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028926621800).

641263526784 is an abundant number, since it is smaller than the sum of its proper divisors (1416589716816).

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

641263526784 is a wasteful number, since it uses less digits than its factorization.

641263526784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79483 (or 79462 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 641263526784 in words is "six hundred forty-one billion, two hundred sixty-three million, five hundred twenty-six thousand, seven hundred eighty-four".