1973268864 has 512 divisors, whose sum is σ = 7226496000. Its totient is φ = 524040192.

The previous prime is 1973268859. The next prime is 1973268887. The reversal of 1973268864 is 4688623791.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 1973268864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37231462 + ... + 37231514.

It is an arithmetic number, because the mean of its divisors is an integer number (14114250).

Almost surely, 2^1973268864 is an apocalyptic number.

1973268864 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 1973268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613248000).

1973268864 is an abundant number, since it is smaller than the sum of its proper divisors (5253227136).

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

1973268864 is an frugal number, since it uses more digits than its factorization.

1973268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1973268864 is about 44421.4910150481. The cubic root of 1973268864 is about 1254.2826679006.

The spelling of 1973268864 in words is "one billion, nine hundred seventy-three million, two hundred sixty-eight thousand, eight hundred sixty-four".