616006462104 has 256 divisors, whose sum is σ = 1876754880000. Its totient is φ = 185664960000.

The previous prime is 616006462103. The next prime is 616006462109. The reversal of 616006462104 is 401264600616.

616006462104 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 0 + 646 + 2 + 1 + 0 + 4 = 666.

616006462104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×616006462104² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616006462103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473486254 + ... + 473487554.

It is an arithmetic number, because the mean of its divisors is an integer number (7331073750).

Almost surely, 2^616006462104 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 616006462104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938377440000).

616006462104 is an abundant number, since it is smaller than the sum of its proper divisors (1260748417896).

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

616006462104 is a wasteful number, since it uses less digits than its factorization.

616006462104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 616006462104 in words is "six hundred sixteen billion, six million, four hundred sixty-two thousand, one hundred four".