5627613291840 has 896 divisors, whose sum is σ = 20941369344000. Its totient is φ = 1420863897600.

The previous prime is 5627613291829. The next prime is 5627613291851. The reversal of 5627613291840 is 481923167265.

It is a happy number.

5627613291840 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 613 + 2 + 9 + 18 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5627613291829) and next prime (5627613291851).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2643311896 + ... + 2643314024.

It is an arithmetic number, because the mean of its divisors is an integer number (23372064000).

It is a 1-persistent number, because it is pandigital, but 2⋅5627613291840 = 11255226583680 is not.

Almost surely, 2^{5627613291840} 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 5627613291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470684672000).

5627613291840 is an abundant number, since it is smaller than the sum of its proper divisors (15313756052160).

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

5627613291840 is a wasteful number, since it uses less digits than its factorization.

5627613291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5627613291840 in words is "five trillion, six hundred twenty-seven billion, six hundred thirteen million, two hundred ninety-one thousand, eight hundred forty".