641078007186176 has 144 divisors (see below), whose sum is σ = 1478075227039488. Its totient is φ = 271826656358400.

The previous prime is 641078007186131. The next prime is 641078007186233. The reversal of 641078007186176 is 671681700870146.

It is a super-2 number, since 2×641078007186176² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73577726 + ... + 81828098.

Almost surely, 2^{641078007186176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641078007186176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739037613519744).

641078007186176 is an abundant number, since it is smaller than the sum of its proper divisors (836997219853312).

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

641078007186176 is a wasteful number, since it uses less digits than its factorization.

641078007186176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250858 (or 8250844 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 62.

The spelling of 641078007186176 in words is "six hundred forty-one trillion, seventy-eight billion, seven million, one hundred eighty-six thousand, one hundred seventy-six".