641127536640000 has 3600 divisors, whose sum is σ = 2602177516646400. Its totient is φ = 155510046720000.

The previous prime is 641127536639857. The next prime is 641127536640001. The reversal of 641127536640000 is 46635721146.

641127536640000 is a `hidden beast` number, since 6 + 4 + 11 + 275 + 366 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×641127536640000² (a number of 30 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 not an unprimeable number, because it can be changed into a prime (641127536640001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5048248319937 + ... + 5048248320063.

Almost surely, 2^{641127536640000} is an apocalyptic number.

641127536640000 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 641127536640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301088758323200).

641127536640000 is an abundant number, since it is smaller than the sum of its proper divisors (1961049980006400).

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

641127536640000 is an equidigital number, since it uses as much as digits as its factorization.

641127536640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 641127536640000 in words is "six hundred forty-one trillion, one hundred twenty-seven billion, five hundred thirty-six million, six hundred forty thousand".