73846788400 has 240 divisors, whose sum is σ = 222370910208. Its totient is φ = 22894848000.

The previous prime is 73846788397. The next prime is 73846788467. The reversal of 73846788400 is 488764837.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 5876524 + ... + 5889076.

Almost surely, 2^73846788400 is an apocalyptic number.

73846788400 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 73846788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111185455104).

73846788400 is an abundant number, since it is smaller than the sum of its proper divisors (148524121808).

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

73846788400 is a wasteful number, since it uses less digits than its factorization.

73846788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12780 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 73846788400 in words is "seventy-three billion, eight hundred forty-six million, seven hundred eighty-eight thousand, four hundred".