616139274240 has 1536 divisors, whose sum is σ = 2702527027200. Its totient is φ = 129950023680.

The previous prime is 616139274221. The next prime is 616139274271. The reversal of 616139274240 is 42472931616.

616139274240 is a `hidden beast` number, since 6 + 1 + 6 + 139 + 274 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 2006968167 + ... + 2006968473.

It is an arithmetic number, because the mean of its divisors is an integer number (1759457700).

Almost surely, 2^616139274240 is an apocalyptic number.

616139274240 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 616139274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351263513600).

616139274240 is an abundant number, since it is smaller than the sum of its proper divisors (2086387752960).

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

616139274240 is a wasteful number, since it uses less digits than its factorization.

616139274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 616139274240 in words is "six hundred sixteen billion, one hundred thirty-nine million, two hundred seventy-four thousand, two hundred forty".