611643464544 has 384 divisors, whose sum is σ = 1897086320640. Its totient is φ = 168967378944.

The previous prime is 611643464533. The next prime is 611643464657. The reversal of 611643464544 is 445464346116.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 611643464493 and 611643464502.

It is a congruent number.

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, 559600062 + ... + 559601154.

It is an arithmetic number, because the mean of its divisors is an integer number (4940328960).

Almost surely, 2^611643464544 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 611643464544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948543160320).

611643464544 is an abundant number, since it is smaller than the sum of its proper divisors (1285442856096).

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

611643464544 is a wasteful number, since it uses less digits than its factorization.

611643464544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 611643464544 in words is "six hundred eleven billion, six hundred forty-three million, four hundred sixty-four thousand, five hundred forty-four".