73329656400 has 3600 divisors, whose sum is σ = 400862468160. Its totient is φ = 12541132800.

The previous prime is 73329656399. The next prime is 73329656401. The reversal of 73329656400 is 465692337.

It is an interprime number because it is at equal distance from previous prime (73329656399) and next prime (73329656401).

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73329656401) by changing a digit.

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 719 ways as a sum of consecutive naturals, for example, 3859455591 + ... + 3859455609.

73329656400 is a highly composite number, because it has more divisors than any smaller number.

Almost surely, 2^73329656400 is an apocalyptic number.

73329656400 is a gapful number since it is divisible by the number (70) 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 73329656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200431234080).

73329656400 is an abundant number, since it is smaller than the sum of its proper divisors (327532811760).

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

73329656400 is a wasteful number, since it uses less digits than its factorization.

73329656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 73329656400 in words is "seventy-three billion, three hundred twenty-nine million, six hundred fifty-six thousand, four hundred".