1964878464 has 128 divisors (see below), whose sum is σ = 5622566400. Its totient is φ = 605961216.

The previous prime is 1964878429. The next prime is 1964878469. The reversal of 1964878464 is 4648784691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1964878469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310597 + ... + 316859.

It is an arithmetic number, because the mean of its divisors is an integer number (43926300).

Almost surely, 2^1964878464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1964878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811283200).

1964878464 is an abundant number, since it is smaller than the sum of its proper divisors (3657687936).

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

1964878464 is a wasteful number, since it uses less digits than its factorization.

1964878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6330 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 1964878464 is about 44326.9496356336. The cubic root of 1964878464 is about 1252.5023927349.

The spelling of 1964878464 in words is "one billion, nine hundred sixty-four million, eight hundred seventy-eight thousand, four hundred sixty-four".