74151285420800 has 540 divisors, whose sum is σ = 214374089753040. Its totient is φ = 25392261242880.

The previous prime is 74151285420799. The next prime is 74151285420803. The reversal of 74151285420800 is 802458215147.

It is not an unprimeable number, because it can be changed into a prime (74151285420803) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15105168746 + ... + 15105173654.

Almost surely, 2^{74151285420800} is an apocalyptic number.

74151285420800 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 74151285420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107187044876520).

74151285420800 is an abundant number, since it is smaller than the sum of its proper divisors (140222804332240).

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

74151285420800 is an frugal number, since it uses more digits than its factorization.

74151285420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 47.

The spelling of 74151285420800 in words is "seventy-four trillion, one hundred fifty-one billion, two hundred eighty-five million, four hundred twenty thousand, eight hundred".