616362503040 has 192 divisors, whose sum is σ = 2149451834400. Its totient is φ = 162735820800.

The previous prime is 616362502979. The next prime is 616362503131. The reversal of 616362503040 is 40305263616.

616362503040 is a `hidden beast` number, since 616 + 3 + 6 + 2 + 5 + 0 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 616362502986 and 616362503004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52021 + ... + 1111499.

Almost surely, 2^616362503040 is an apocalyptic number.

616362503040 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 616362503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074725917200).

616362503040 is an abundant number, since it is smaller than the sum of its proper divisors (1533089331360).

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

616362503040 is a wasteful number, since it uses less digits than its factorization.

616362503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059605 (or 1059590 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 616362503040 its reverse (40305263616), we get a palindrome (656667766656).

The spelling of 616362503040 in words is "six hundred sixteen billion, three hundred sixty-two million, five hundred three thousand, forty".