964240010640 has 480 divisors, whose sum is σ = 3352140136800. Its totient is φ = 248234803200.

The previous prime is 964240010627. The next prime is 964240010653. The reversal of 964240010640 is 46010042469.

964240010640 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 4 + 0 + 0 + 1 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (964240010627) and next prime (964240010653).

It can be written as a sum of positive squares in 16 ways, for example, as 171684265104 + 792555745536 = 414348^2 + 890256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 964240010595 and 964240010604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1782328770 + ... + 1782329310.

It is an arithmetic number, because the mean of its divisors is an integer number (6983625285).

Almost surely, 2^964240010640 is an apocalyptic number.

964240010640 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 964240010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676070068400).

964240010640 is an abundant number, since it is smaller than the sum of its proper divisors (2387900126160).

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

964240010640 is a wasteful number, since it uses less digits than its factorization.

964240010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 964240010640 in words is "nine hundred sixty-four billion, two hundred forty million, ten thousand, six hundred forty".