4547670400 has 576 divisors, whose sum is σ = 14836862880. Its totient is φ = 1362493440.

The previous prime is 4547670397. The next prime is 4547670401. The reversal of 4547670400 is 40767454.

It is a self number, because there is not a number n which added to its sum of digits gives 4547670400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4547670401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46883152 + ... + 46883248.

Almost surely, 2^4547670400 is an apocalyptic number.

4547670400 is a gapful number since it is divisible by the number (40) 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 4547670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418431440).

4547670400 is an abundant number, since it is smaller than the sum of its proper divisors (10289192480).

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

4547670400 is a wasteful number, since it uses less digits than its factorization.

4547670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 4547670400 is about 67436.4174611908. The cubic root of 4547670400 is about 1656.7729438752.

The spelling of 4547670400 in words is "four billion, five hundred forty-seven million, six hundred seventy thousand, four hundred".