73852416000 has 1248 divisors, whose sum is σ = 306180366336. Its totient is φ = 16957440000.

The previous prime is 73852415977. The next prime is 73852416019. The reversal of 73852416000 is 61425837.

73852416000 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 2 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1571327977 + ... + 1571328023.

It is an arithmetic number, because the mean of its divisors is an integer number (245336832).

Almost surely, 2^73852416000 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 73852416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153090183168).

73852416000 is an abundant number, since it is smaller than the sum of its proper divisors (232327950336).

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

73852416000 is a wasteful number, since it uses less digits than its factorization.

73852416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 73852416000 in words is "seventy-three billion, eight hundred fifty-two million, four hundred sixteen thousand".