5067014400 has 864 divisors, whose sum is σ = 21898598400. Its totient is φ = 1122508800.

The previous prime is 5067014363. The next prime is 5067014401. The reversal of 5067014400 is 44107605.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5067014401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71366365 + ... + 71366435.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^5067014400 is an apocalyptic number.

5067014400 is a gapful number since it is divisible by the number (50) 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 5067014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949299200).

5067014400 is an abundant number, since it is smaller than the sum of its proper divisors (16831584000).

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

5067014400 is a wasteful number, since it uses less digits than its factorization.

5067014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5067014400 is about 71182.9642540966. The cubic root of 5067014400 is about 1717.5816021182.

The spelling of 5067014400 in words is "five billion, sixty-seven million, fourteen thousand, four hundred".