157699974768 has 960 divisors, whose sum is σ = 556569377280. Its totient is φ = 38087884800.

The previous prime is 157699974767. The next prime is 157699974769. The reversal of 157699974768 is 867479996751.

157699974768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157699974767) and next prime (157699974769).

It is a junction number, because it is equal to n+sod(n) for n = 157699974693 and 157699974702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157699974763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1899999655 + ... + 1899999737.

It is an arithmetic number, because the mean of its divisors is an integer number (579759768).

Almost surely, 2^157699974768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157699974768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278284688640).

157699974768 is an abundant number, since it is smaller than the sum of its proper divisors (398869402512).

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

157699974768 is a wasteful number, since it uses less digits than its factorization.

157699974768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 78.

The spelling of 157699974768 in words is "one hundred fifty-seven billion, six hundred ninety-nine million, nine hundred seventy-four thousand, seven hundred sixty-eight".