5972797440 has 480 divisors, whose sum is σ = 22594572000. Its totient is φ = 1504935936.

The previous prime is 5972797381. The next prime is 5972797451. The reversal of 5972797440 is 447972795.

5972797440 is a `hidden beast` number, since 5 + 97 + 27 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15759171 + ... + 15759549.

It is an arithmetic number, because the mean of its divisors is an integer number (47072025).

Almost surely, 2^5972797440 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 5972797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297286000).

5972797440 is an abundant number, since it is smaller than the sum of its proper divisors (16621774560).

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

5972797440 is a wasteful number, since it uses less digits than its factorization.

5972797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 5972797440 is about 77283.8756792127. The cubic root of 5972797440 is about 1814.3703026969.

The spelling of 5972797440 in words is "five billion, nine hundred seventy-two million, seven hundred ninety-seven thousand, four hundred forty".