73900857600 has 432 divisors, whose sum is σ = 271816352640. Its totient is φ = 19646668800.

The previous prime is 73900857593. The next prime is 73900857689. The reversal of 73900857600 is 675800937.

It is a happy number.

73900857600 is a `hidden beast` number, since 7 + 39 + 0 + 0 + 8 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×73900857600² (a number of 23 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 111801270 + ... + 111801930.

It is an arithmetic number, because the mean of its divisors is an integer number (629204520).

Almost surely, 2^73900857600 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 73900857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135908176320).

73900857600 is an abundant number, since it is smaller than the sum of its proper divisors (197915495040).

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

73900857600 is a wasteful number, since it uses less digits than its factorization.

73900857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 73900857600 in words is "seventy-three billion, nine hundred million, eight hundred fifty-seven thousand, six hundred".