5437146624 has 240 divisors, whose sum is σ = 18149182128. Its totient is φ = 1433714688.

The previous prime is 5437146623. The next prime is 5437146641. The reversal of 5437146624 is 4266417345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5437146623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975654 + ... + 981210.

Almost surely, 2^5437146624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5437146624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074591064).

5437146624 is an abundant number, since it is smaller than the sum of its proper divisors (12712035504).

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

5437146624 is a wasteful number, since it uses less digits than its factorization.

5437146624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5582 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 5437146624 is about 73737.0098661452. The cubic root of 5437146624 is about 1758.4243197848.

The spelling of 5437146624 in words is "five billion, four hundred thirty-seven million, one hundred forty-six thousand, six hundred twenty-four".