7853348160 has 336 divisors, whose sum is σ = 32215262976. Its totient is φ = 1716903936.

The previous prime is 7853348093. The next prime is 7853348171. The reversal of 7853348160 is 618433587.

7853348160 is a `hidden beast` number, since 7 + 85 + 33 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455212 + ... + 472148.

Almost surely, 2^7853348160 is an apocalyptic number.

7853348160 is a gapful number since it is divisible by the number (70) 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 7853348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107631488).

7853348160 is an abundant number, since it is smaller than the sum of its proper divisors (24361914816).

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

7853348160 is a wasteful number, since it uses less digits than its factorization.

7853348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16990 (or 16977 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7853348160 is about 88619.1184790280. The cubic root of 7853348160 is about 1987.7035671402.

The spelling of 7853348160 in words is "seven billion, eight hundred fifty-three million, three hundred forty-eight thousand, one hundred sixty".