1964520000 has 560 divisors, whose sum is σ = 7712781120. Its totient is φ = 488448000.

The previous prime is 1964519989. The next prime is 1964520013. The reversal of 1964520000 is 254691.

1964520000 is a `hidden beast` number, since 19 + 645 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18359947 + ... + 18360053.

Almost surely, 2^1964520000 is an apocalyptic number.

1964520000 is a gapful number since it is divisible by the number (10) 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 1964520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856390560).

1964520000 is an abundant number, since it is smaller than the sum of its proper divisors (5748261120).

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

1964520000 is a wasteful number, since it uses less digits than its factorization.

1964520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1964520000 is about 44322.9060419102. The cubic root of 1964520000 is about 1252.4262210476.

Adding to 1964520000 its reverse (254691), we get a palindrome (1964774691).

The spelling of 1964520000 in words is "one billion, nine hundred sixty-four million, five hundred twenty thousand".