93942779616 has 576 divisors, whose sum is σ = 327171700800. Its totient is φ = 26141294592.

The previous prime is 93942779459. The next prime is 93942779627. The reversal of 93942779616 is 61697724939.

93942779616 is a `hidden beast` number, since 9 + 3 + 9 + 4 + 2 + 7 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349229530 + ... + 349229798.

It is an arithmetic number, because the mean of its divisors is an integer number (568006425).

Almost surely, 2^93942779616 is an apocalyptic number.

93942779616 is a gapful number since it is divisible by the number (96) 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 93942779616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163585850400).

93942779616 is an abundant number, since it is smaller than the sum of its proper divisors (233228921184).

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

93942779616 is a wasteful number, since it uses less digits than its factorization.

93942779616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 93942779616 in words is "ninety-three billion, nine hundred forty-two million, seven hundred seventy-nine thousand, six hundred sixteen".