5997800640 has 448 divisors, whose sum is σ = 21793443840. Its totient is φ = 1386823680.

The previous prime is 5997800639. The next prime is 5997800657. The reversal of 5997800640 is 460087995.

It is a super-2 number, since 2×5997800640² = 71947225034368819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5997800640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14314351 + ... + 14314769.

It is an arithmetic number, because the mean of its divisors is an integer number (48646080).

Almost surely, 2^5997800640 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 5997800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896721920).

5997800640 is an abundant number, since it is smaller than the sum of its proper divisors (15795643200).

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

5997800640 is a wasteful number, since it uses less digits than its factorization.

5997800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 5997800640 is about 77445.4688151605. The cubic root of 5997800640 is about 1816.8985377896.

The spelling of 5997800640 in words is "five billion, nine hundred ninety-seven million, eight hundred thousand, six hundred forty".