616922490240 has 896 divisors, whose sum is σ = 2551780756800. Its totient is φ = 139636555776.

The previous prime is 616922490203. The next prime is 616922490259. The reversal of 616922490240 is 42094229616.

616922490240 is a `hidden beast` number, since 6 + 169 + 2 + 249 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 355984414 + ... + 355986146.

Almost surely, 2^616922490240 is an apocalyptic number.

616922490240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616922490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275890378400).

616922490240 is an abundant number, since it is smaller than the sum of its proper divisors (1934858266560).

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

616922490240 is a wasteful number, since it uses less digits than its factorization.

616922490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 616922490240 in words is "six hundred sixteen billion, nine hundred twenty-two million, four hundred ninety thousand, two hundred forty".