964645955010 has 192 divisors, whose sum is σ = 2551988799360. Its totient is φ = 252783452160.

The previous prime is 964645954997. The next prime is 964645955011. The reversal of 964645955010 is 10559546469.

964645955010 is a `hidden beast` number, since 9 + 6 + 4 + 6 + 45 + 95 + 501 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (964645955011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884184565 + ... + 884185655.

It is an arithmetic number, because the mean of its divisors is an integer number (13291608330).

Almost surely, 2^964645955010 is an apocalyptic number.

964645955010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 964645955010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275994399680).

964645955010 is an abundant number, since it is smaller than the sum of its proper divisors (1587342844350).

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

964645955010 is a wasteful number, since it uses less digits than its factorization.

964645955010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 964645955010 in words is "nine hundred sixty-four billion, six hundred forty-five million, nine hundred fifty-five thousand, ten".