7866745920 has 672 divisors, whose sum is σ = 32472026496. Its totient is φ = 1791590400.

The previous prime is 7866745889. The next prime is 7866745927. The reversal of 7866745920 is 295476687.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7866745927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14540850 + ... + 14541390.

It is an arithmetic number, because the mean of its divisors is an integer number (48321468).

Almost surely, 2^7866745920 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 7866745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236013248).

7866745920 is an abundant number, since it is smaller than the sum of its proper divisors (24605280576).

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

7866745920 is a wasteful number, since it uses less digits than its factorization.

7866745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7866745920 is about 88694.6780816076. The cubic root of 7866745920 is about 1988.8332613446.

The spelling of 7866745920 in words is "seven billion, eight hundred sixty-six million, seven hundred forty-five thousand, nine hundred twenty".