307869145920 has 1792 divisors, whose sum is σ = 1405642014720. Its totient is φ = 61779345408.

The previous prime is 307869145853. The next prime is 307869145931. The reversal of 307869145920 is 29541968703.

307869145920 is a `hidden beast` number, since 3 + 0 + 7 + 86 + 91 + 459 + 20 = 666.

It is a super-2 number, since 2×307869145920² (a number of 24 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 1111440822 + ... + 1111441098.

It is a 2-persistent number, because it is pandigital, and so is 2⋅307869145920 = 615738291840, but 3⋅307869145920 = 923607437760 is not.

Almost surely, 2^307869145920 is an apocalyptic number.

307869145920 is a gapful number since it is divisible by the number (30) 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 307869145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702821007360).

307869145920 is an abundant number, since it is smaller than the sum of its proper divisors (1097772868800).

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

307869145920 is a wasteful number, since it uses less digits than its factorization.

307869145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 307869145920 in words is "three hundred seven billion, eight hundred sixty-nine million, one hundred forty-five thousand, nine hundred twenty".