5646512340 has 288 divisors, whose sum is σ = 20745553920. Its totient is φ = 1214362368.

The previous prime is 5646512293. The next prime is 5646512371. The reversal of 5646512340 is 432156465.

5646512340 is a `hidden beast` number, since 5 + 646 + 5 + 1 + 2 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5646512295 and 5646512304.

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, 3901497 + ... + 3902943.

Almost surely, 2^5646512340 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 5646512340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372776960).

5646512340 is an abundant number, since it is smaller than the sum of its proper divisors (15099041580).

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

5646512340 is a wasteful number, since it uses less digits than its factorization.

5646512340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5646512340 is about 75143.2787413485. The cubic root of 5646512340 is about 1780.7109414429.

The spelling of 5646512340 in words is "five billion, six hundred forty-six million, five hundred twelve thousand, three hundred forty".