1955616264 has 192 divisors, whose sum is σ = 6467630400. Its totient is φ = 545626368.

The previous prime is 1955616217. The next prime is 1955616277. The reversal of 1955616264 is 4626165591.

1955616264 is a `hidden beast` number, since 1 + 9 + 5 + 5 + 616 + 26 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 452964 + ... + 457260.

It is an arithmetic number, because the mean of its divisors is an integer number (33685575).

Almost surely, 2^1955616264 is an apocalyptic number.

1955616264 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 1955616264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233815200).

1955616264 is an abundant number, since it is smaller than the sum of its proper divisors (4512014136).

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

1955616264 is a wasteful number, since it uses less digits than its factorization.

1955616264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4352 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 1955616264 is about 44222.3502767549. The cubic root of 1955616264 is about 1250.5312438453.

The spelling of 1955616264 in words is "one billion, nine hundred fifty-five million, six hundred sixteen thousand, two hundred sixty-four".