5468070400 has 240 divisors, whose sum is σ = 15455901384. Its totient is φ = 1899233280.

The previous prime is 5468070359. The next prime is 5468070407. The reversal of 5468070400 is 40708645.

It can be written as a sum of positive squares in 12 ways, for example, as 464488704 + 5003581696 = 21552^2 + 70736^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5468070407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2827834 + ... + 2829766.

Almost surely, 2^5468070400 is an apocalyptic number.

5468070400 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 5468070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727950692).

5468070400 is an abundant number, since it is smaller than the sum of its proper divisors (9987830984).

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

5468070400 is a wasteful number, since it uses less digits than its factorization.

5468070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 5468070400 is about 73946.4022113314. The cubic root of 5468070400 is about 1761.7516995096.

The spelling of 5468070400 in words is "five billion, four hundred sixty-eight million, seventy thousand, four hundred".