641687679360 has 3072 divisors, whose sum is σ = 3141135728640. Its totient is φ = 116785152000.

The previous prime is 641687679349. The next prime is 641687679371. The reversal of 641687679360 is 63976786146.

641687679360 is a `hidden beast` number, since 6 + 416 + 8 + 76 + 7 + 93 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (641687679349) and next prime (641687679371).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6353343310 + ... + 6353343410.

It is an arithmetic number, because the mean of its divisors is an integer number (1022505120).

Almost surely, 2^641687679360 is an apocalyptic number.

641687679360 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 641687679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570567864320).

641687679360 is an abundant number, since it is smaller than the sum of its proper divisors (2499448049280).

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

641687679360 is a wasteful number, since it uses less digits than its factorization.

641687679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 641687679360 in words is "six hundred forty-one billion, six hundred eighty-seven million, six hundred seventy-nine thousand, three hundred sixty".