5972653440 has 576 divisors, whose sum is σ = 23226905520. Its totient is φ = 1405624320.

The previous prime is 5972653433. The next prime is 5972653457. The reversal of 5972653440 is 443562795.

5972653440 is a `hidden beast` number, since 5 + 9 + 72 + 6 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5972653440² = 71345178228687667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71959639 + ... + 71959721.

Almost surely, 2^5972653440 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 5972653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613452760).

5972653440 is an abundant number, since it is smaller than the sum of its proper divisors (17254252080).

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

5972653440 is a wasteful number, since it uses less digits than its factorization.

5972653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5972653440 is about 77282.9440433010. The cubic root of 5972653440 is about 1814.3557215103.

The spelling of 5972653440 in words is "five billion, nine hundred seventy-two million, six hundred fifty-three thousand, four hundred forty".