616978427220 has 240 divisors, whose sum is σ = 2120005697040. Its totient is φ = 149509656576.

The previous prime is 616978427189. The next prime is 616978427287. The reversal of 616978427220 is 22724879616.

It can be written as a sum of positive squares in 8 ways, for example, as 586995984 + 616391431236 = 24228^2 + 785106^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 412402 + ... + 1184918.

It is an arithmetic number, because the mean of its divisors is an integer number (8833357071).

Almost surely, 2^616978427220 is an apocalyptic number.

616978427220 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 616978427220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060002848520).

616978427220 is an abundant number, since it is smaller than the sum of its proper divisors (1503027269820).

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

616978427220 is a wasteful number, since it uses less digits than its factorization.

616978427220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772584 (or 772573 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 616978427220 in words is "six hundred sixteen billion, nine hundred seventy-eight million, four hundred twenty-seven thousand, two hundred twenty".