73526400000 has 1056 divisors, whose sum is σ = 291678831360. Its totient is φ = 18247680000.

The previous prime is 73526399993. The next prime is 73526400011. The reversal of 73526400000 is 462537.

It is a happy number.

It is a super-2 number, since 2×73526400000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1987199982 + ... + 1987200018.

Almost surely, 2^73526400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73526400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145839415680).

73526400000 is an abundant number, since it is smaller than the sum of its proper divisors (218152431360).

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

73526400000 is an equidigital number, since it uses as much as digits as its factorization.

73526400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 73526400000 its reverse (462537), we get a palindrome (73526862537).

The spelling of 73526400000 in words is "seventy-three billion, five hundred twenty-six million, four hundred thousand".