5670770400 has 216 divisors, whose sum is σ = 21049512120. Its totient is φ = 1432581120.

The previous prime is 5670770317. The next prime is 5670770407. The reversal of 5670770400 is 40770765.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5670770407) 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 35 ways as a sum of consecutive naturals, for example, 116074 + ... + 157526.

It is an arithmetic number, because the mean of its divisors is an integer number (97451445).

Almost surely, 2^5670770400 is an apocalyptic number.

5670770400 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 5670770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524756060).

5670770400 is an abundant number, since it is smaller than the sum of its proper divisors (15378741720).

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

5670770400 is a wasteful number, since it uses less digits than its factorization.

5670770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41498 (or 41482 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5670770400 is about 75304.5177927593. The cubic root of 5670770400 is about 1783.2573440316.

The spelling of 5670770400 in words is "five billion, six hundred seventy million, seven hundred seventy thousand, four hundred".