641954267136 has 960 divisors, whose sum is σ = 2409805762560. Its totient is φ = 164348559360.

The previous prime is 641954267083. The next prime is 641954267153. The reversal of 641954267136 is 631762459146.

It is a happy number.

641954267136 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 542 + 67 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1489452841 + ... + 1489453271.

It is an arithmetic number, because the mean of its divisors is an integer number (2510214336).

Almost surely, 2^641954267136 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 641954267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204902881280).

641954267136 is an abundant number, since it is smaller than the sum of its proper divisors (1767851495424).

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

641954267136 is a wasteful number, since it uses less digits than its factorization.

641954267136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 493 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 641954267136 in words is "six hundred forty-one billion, nine hundred fifty-four million, two hundred sixty-seven thousand, one hundred thirty-six".