73969988400 has 1440 divisors, whose sum is σ = 340125730560. Its totient is φ = 15095808000.

The previous prime is 73969988383. The next prime is 73969988441. The reversal of 73969988400 is 488996937.

It is a super-2 number, since 2×73969988400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 564656335 + ... + 564656465.

It is an arithmetic number, because the mean of its divisors is an integer number (236198424).

Almost surely, 2^73969988400 is an apocalyptic number.

73969988400 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 73969988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170062865280).

73969988400 is an abundant number, since it is smaller than the sum of its proper divisors (266155742160).

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

73969988400 is a wasteful number, since it uses less digits than its factorization.

73969988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 73969988400 in words is "seventy-three billion, nine hundred sixty-nine million, nine hundred eighty-eight thousand, four hundred".