5962825440 has 576 divisors, whose sum is σ = 24964692480. Its totient is φ = 1275310080.

The previous prime is 5962825433. The next prime is 5962825483. The reversal of 5962825440 is 445282695.

5962825440 is a `hidden beast` number, since 596 + 2 + 8 + 2 + 54 + 4 + 0 = 666.

It is a super-2 number, since 2×5962825440² = 71110574455822387200, 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4735531 + ... + 4736789.

It is an arithmetic number, because the mean of its divisors is an integer number (43341480).

Almost surely, 2^5962825440 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 5962825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482346240).

5962825440 is an abundant number, since it is smaller than the sum of its proper divisors (19001867040).

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

5962825440 is a wasteful number, since it uses less digits than its factorization.

5962825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5962825440 is about 77219.3333304555. Note that the first 5 decimals coincide. The cubic root of 5962825440 is about 1813.3600011697.

The spelling of 5962825440 in words is "five billion, nine hundred sixty-two million, eight hundred twenty-five thousand, four hundred forty".