7845608053920 has 2304 divisors, whose sum is σ = 33713857013760. Its totient is φ = 1515136057344.

The previous prime is 7845608053909. The next prime is 7845608053951. The reversal of 7845608053920 is 293508065487.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25555726407 + ... + 25555726713.

It is an arithmetic number, because the mean of its divisors is an integer number (14632750440).

Almost surely, 2^{7845608053920} is an apocalyptic number.

7845608053920 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 7845608053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856928506880).

7845608053920 is an abundant number, since it is smaller than the sum of its proper divisors (25868248959840).

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

7845608053920 is a wasteful number, since it uses less digits than its factorization.

7845608053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 7845608053920 in words is "seven trillion, eight hundred forty-five billion, six hundred eight million, fifty-three thousand, nine hundred twenty".