964463616000 has 336 divisors, whose sum is σ = 3477033816048. Its totient is φ = 257187840000.

The previous prime is 964463615963. The next prime is 964463616007. The reversal of 964463616000 is 616364469.

964463616000 is a `hidden beast` number, since 9 + 6 + 4 + 4 + 6 + 36 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964463616007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9163675 + ... + 9268325.

Almost surely, 2^964463616000 is an apocalyptic number.

964463616000 is a gapful number since it is divisible by the number (90) 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 964463616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738516908024).

964463616000 is an abundant number, since it is smaller than the sum of its proper divisors (2512570200048).

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

964463616000 is a wasteful number, since it uses less digits than its factorization.

964463616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104698 (or 104661 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 964463616000 in words is "nine hundred sixty-four billion, four hundred sixty-three million, six hundred sixteen thousand".