616434465600 has 126 divisors (see below), whose sum is σ = 2190953688950. Its totient is φ = 164382520320.

The previous prime is 616434465587. The next prime is 616434465629. The reversal of 616434465600 is 6564434616.

616434465600 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 34 + 4 + 6 + 5 + 600 = 666.

616434465600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 179375966784 + 437058498816 = 423528^2 + 661104^2 .

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 17 ways as a sum of consecutive naturals, for example, 21389575 + ... + 21418374.

Almost surely, 2^616434465600 is an apocalyptic number.

616434465600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

616434465600 is an abundant number, since it is smaller than the sum of its proper divisors (1574519223350).

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

616434465600 is a wasteful number, since it uses less digits than its factorization.

616434465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42807977 (or 42807959 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 616434465600 in words is "six hundred sixteen billion, four hundred thirty-four million, four hundred sixty-five thousand, six hundred".