641265150214080 has 672 divisors, whose sum is σ = 2635692961654080. Its totient is φ = 146346163568640.

The previous prime is 641265150214063. The next prime is 641265150214109. The reversal of 641265150214080 is 80412051562146.

641265150214080 is a `hidden beast` number, since 6 + 4 + 1 + 2 + 6 + 51 + 502 + 14 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×641265150214080² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270192244 + ... + 272555276.

Almost surely, 2^{641265150214080} is an apocalyptic number.

641265150214080 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 641265150214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317846480827040).

641265150214080 is an abundant number, since it is smaller than the sum of its proper divisors (1994427811440000).

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

641265150214080 is a wasteful number, since it uses less digits than its factorization.

641265150214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363714 (or 2363691 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 641265150214080 in words is "six hundred forty-one trillion, two hundred sixty-five billion, one hundred fifty million, two hundred fourteen thousand, eighty".