73876514400 has 1152 divisors, whose sum is σ = 309205209600. Its totient is φ = 16870809600.

The previous prime is 73876514363. The next prime is 73876514449. The reversal of 73876514400 is 441567837.

73876514400 is a `hidden beast` number, since 73 + 87 + 65 + 1 + 440 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 325447087 + ... + 325447313.

It is an arithmetic number, because the mean of its divisors is an integer number (268407300).

Almost surely, 2^73876514400 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 73876514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154602604800).

73876514400 is an abundant number, since it is smaller than the sum of its proper divisors (235328695200).

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

73876514400 is a wasteful number, since it uses less digits than its factorization.

73876514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 73876514400 in words is "seventy-three billion, eight hundred seventy-six million, five hundred fourteen thousand, four hundred".