641000177664 has 512 divisors, whose sum is σ = 2243750630400. Its totient is φ = 157695344640.

The previous prime is 641000177659. The next prime is 641000177717. The reversal of 641000177664 is 466771000146.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143816524 + ... + 143820980.

It is an arithmetic number, because the mean of its divisors is an integer number (4382325450).

Almost surely, 2^641000177664 is an apocalyptic number.

641000177664 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 641000177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121875315200).

641000177664 is an abundant number, since it is smaller than the sum of its proper divisors (1602750452736).

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

641000177664 is a wasteful number, since it uses less digits than its factorization.

641000177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 641000177664 in words is "six hundred forty-one billion, one hundred seventy-seven thousand, six hundred sixty-four".