1964936064 has 384 divisors, whose sum is σ = 6788426400. Its totient is φ = 498548736.

The previous prime is 1964936021. The next prime is 1964936101. The reversal of 1964936064 is 4606394691.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7093494 + ... + 7093770.

Almost surely, 2^1964936064 is an apocalyptic number.

1964936064 is a gapful number since it is divisible by the number (14) 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 1964936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394213200).

1964936064 is an abundant number, since it is smaller than the sum of its proper divisors (4823490336).

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

1964936064 is a wasteful number, since it uses less digits than its factorization.

1964936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 1964936064 is about 44327.5993484872. The cubic root of 1964936064 is about 1252.5146315636.

The spelling of 1964936064 in words is "one billion, nine hundred sixty-four million, nine hundred thirty-six thousand, sixty-four".