641760264 has 192 divisors, whose sum is σ = 1944384000. Its totient is φ = 190356480.

The previous prime is 641760263. The next prime is 641760277. The reversal of 641760264 is 462067146.

641760264 is a `hidden beast` number, since 6 + 41 + 7 + 602 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (641760263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568892 + ... + 1569300.

It is an arithmetic number, because the mean of its divisors is an integer number (10127000).

Almost surely, 2^641760264 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 641760264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972192000).

641760264 is an abundant number, since it is smaller than the sum of its proper divisors (1302623736).

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

641760264 is a wasteful number, since it uses less digits than its factorization.

641760264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 641760264 is about 25332.9876643084. The cubic root of 641760264 is about 862.5632306511.

The spelling of 641760264 in words is "six hundred forty-one million, seven hundred sixty thousand, two hundred sixty-four".