64723276800 has 1650 divisors, whose sum is σ = 301096738558. Its totient is φ = 13655900160.

The previous prime is 64723276789. The next prime is 64723276811. The reversal of 64723276800 is 867232746.

64723276800 is a `hidden beast` number, since 6 + 472 + 32 + 76 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64723276789) and next prime (64723276811).

It can be written as a sum of positive squares in 3 ways, for example, as 199148544 + 64524128256 = 14112^2 + 254016^2 .

It is a super-3 number, since 3×64723276800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 4978713594 + ... + 4978713606.

Almost surely, 2^64723276800 is an apocalyptic number.

64723276800 is a gapful number since it is divisible by the number (60) 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 64723276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150548369279).

64723276800 is an abundant number, since it is smaller than the sum of its proper divisors (236373461758).

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

64723276800 is an equidigital number, since it uses as much as digits as its factorization.

64723276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 64723276800 in words is "sixty-four billion, seven hundred twenty-three million, two hundred seventy-six thousand, eight hundred".