964778496 has 240 divisors, whose sum is σ = 2938874400. Its totient is φ = 280698880.

The previous prime is 964778491. The next prime is 964778513. The reversal of 964778496 is 694877469.

Its product of digits (18289152) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964778491) 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, 5389735 + ... + 5389913.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 2^964778496 is an apocalyptic number.

964778496 is a gapful number since it is divisible by the number (96) 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 964778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469437200).

964778496 is an abundant number, since it is smaller than the sum of its proper divisors (1974095904).

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

964778496 is a wasteful number, since it uses less digits than its factorization.

964778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 224 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 964778496 is about 31060.8836963793. The cubic root of 964778496 is about 988.1188971086.

The spelling of 964778496 in words is "nine hundred sixty-four million, seven hundred seventy-eight thousand, four hundred ninety-six".