5407641600 has 312 divisors, whose sum is σ = 18526076160. Its totient is φ = 1390018560.

The previous prime is 5407641583. The next prime is 5407641607. The reversal of 5407641600 is 61467045.

It is not an unprimeable number, because it can be changed into a prime (5407641607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8908497 + ... + 8909103.

Almost surely, 2^5407641600 is an apocalyptic number.

5407641600 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 5407641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263038080).

5407641600 is an abundant number, since it is smaller than the sum of its proper divisors (13118434560).

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

5407641600 is a wasteful number, since it uses less digits than its factorization.

5407641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5407641600 is about 73536.6684042730. The cubic root of 5407641600 is about 1755.2378148684.

The spelling of 5407641600 in words is "five billion, four hundred seven million, six hundred forty-one thousand, six hundred".