1963725120 has 560 divisors, whose sum is σ = 8143280640. Its totient is φ = 439934976.

The previous prime is 1963725109. The next prime is 1963725149. The reversal of 1963725120 is 215273691.

1963725120 is a `hidden beast` number, since 1 + 9 + 637 + 2 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14333692 + ... + 14333828.

Almost surely, 2^1963725120 is an apocalyptic number.

1963725120 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 1963725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071640320).

1963725120 is an abundant number, since it is smaller than the sum of its proper divisors (6179555520).

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

1963725120 is a wasteful number, since it uses less digits than its factorization.

1963725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1963725120 is about 44313.9382136140. The cubic root of 1963725120 is about 1252.2572802284.

The spelling of 1963725120 in words is "one billion, nine hundred sixty-three million, seven hundred twenty-five thousand, one hundred twenty".