5642398681920 has 1792 divisors, whose sum is σ = 28133205811200. Its totient is φ = 1025267466240.

The previous prime is 5642398681891. The next prime is 5642398681963. The reversal of 5642398681920 is 291868932465.

5642398681920 is a `hidden beast` number, since 56 + 4 + 2 + 398 + 6 + 8 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 164306992 + ... + 164341328.

It is an arithmetic number, because the mean of its divisors is an integer number (15699333600).

Almost surely, 2^{5642398681920} 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 5642398681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14066602905600).

5642398681920 is an abundant number, since it is smaller than the sum of its proper divisors (22490807129280).

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

5642398681920 is a wasteful number, since it uses less digits than its factorization.

5642398681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34413 (or 34397 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 5642398681920 in words is "five trillion, six hundred forty-two billion, three hundred ninety-eight million, six hundred eighty-one thousand, nine hundred twenty".