5432978880 has 672 divisors, whose sum is σ = 22912303680. Its totient is φ = 1207664640.

The previous prime is 5432978869. The next prime is 5432978909. The reversal of 5432978880 is 888792345.

It is a happy number.

5432978880 is a `hidden beast` number, since 543 + 2 + 97 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17357604 + ... + 17357916.

It is an arithmetic number, because the mean of its divisors is an integer number (34095690).

Almost surely, 2^5432978880 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 5432978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456151840).

5432978880 is an abundant number, since it is smaller than the sum of its proper divisors (17479324800).

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

5432978880 is a wasteful number, since it uses less digits than its factorization.

5432978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 5432978880 is about 73708.7435790355. The cubic root of 5432978880 is about 1757.9749090759.

The spelling of 5432978880 in words is "five billion, four hundred thirty-two million, nine hundred seventy-eight thousand, eight hundred eighty".