6464890635840 has 1120 divisors, whose sum is σ = 28365170803200. Its totient is φ = 1361059282944.

The previous prime is 6464890635823. The next prime is 6464890635859. The reversal of 6464890635840 is 485360984646.

6464890635840 is a `hidden beast` number, since 6 + 4 + 6 + 48 + 9 + 0 + 6 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1186433436 + ... + 1186438884.

It is an arithmetic number, because the mean of its divisors is an integer number (25326045360).

Almost surely, 2^{6464890635840} is an apocalyptic number.

6464890635840 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 6464890635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182585401600).

6464890635840 is an abundant number, since it is smaller than the sum of its proper divisors (21900280167360).

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

6464890635840 is a wasteful number, since it uses less digits than its factorization.

6464890635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6001 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 6464890635840 in words is "six trillion, four hundred sixty-four billion, eight hundred ninety million, six hundred thirty-five thousand, eight hundred forty".