73830374400 has 528 divisors, whose sum is σ = 260592008544. Its totient is φ = 18371051520.

The previous prime is 73830374377. The next prime is 73830374419. The reversal of 73830374400 is 447303837.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251980654 + ... + 251980946.

Almost surely, 2^73830374400 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 73830374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130296004272).

73830374400 is an abundant number, since it is smaller than the sum of its proper divisors (186761634144).

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

73830374400 is a wasteful number, since it uses less digits than its factorization.

73830374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 73830374400 in words is "seventy-three billion, eight hundred thirty million, three hundred seventy-four thousand, four hundred".