73461427200 has 1188 divisors, whose sum is σ = 318618612312. Its totient is φ = 16721510400.

The previous prime is 73461427199. The next prime is 73461427213. The reversal of 73461427200 is 272416437.

73461427200 is a `hidden beast` number, since 7 + 34 + 614 + 2 + 7 + 2 + 0 + 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304819080 + ... + 304819320.

Almost surely, 2^73461427200 is an apocalyptic number.

73461427200 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 73461427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159309306156).

73461427200 is an abundant number, since it is smaller than the sum of its proper divisors (245157185112).

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

73461427200 is a wasteful number, since it uses less digits than its factorization.

73461427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 73461427200 in words is "seventy-three billion, four hundred sixty-one million, four hundred twenty-seven thousand, two hundred".