641066428800 has 576 divisors, whose sum is σ = 2675086402560. Its totient is φ = 143119872000.

The previous prime is 641066428787. The next prime is 641066428823. The reversal of 641066428800 is 8824660146.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×641066428800² (a number of 24 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 71 ways as a sum of consecutive naturals, for example, 8631825 + ... + 8705775.

Almost surely, 2^641066428800 is an apocalyptic number.

641066428800 is a gapful number since it is divisible by the number (60) 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 641066428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337543201280).

641066428800 is an abundant number, since it is smaller than the sum of its proper divisors (2034019973760).

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

641066428800 is a wasteful number, since it uses less digits than its factorization.

641066428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74031 (or 74011 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 641066428800 in words is "six hundred forty-one billion, sixty-six million, four hundred twenty-eight thousand, eight hundred".