5437946880 has 352 divisors, whose sum is σ = 19533292800. Its totient is φ = 1434599424.

The previous prime is 5437946873. The next prime is 5437946881. The reversal of 5437946880 is 886497345.

5437946880 is a `hidden beast` number, since 543 + 7 + 94 + 6 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×5437946880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5437946881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19215219 + ... + 19215501.

Almost surely, 2^5437946880 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 5437946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766646400).

5437946880 is an abundant number, since it is smaller than the sum of its proper divisors (14095345920).

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

5437946880 is a wasteful number, since it uses less digits than its factorization.

5437946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5437946880 is about 73742.4360866930. The cubic root of 5437946880 is about 1758.5105856566.

The spelling of 5437946880 in words is "five billion, four hundred thirty-seven million, nine hundred forty-six thousand, eight hundred eighty".