6875620920 has 384 divisors, whose sum is σ = 26804044800. Its totient is φ = 1494484992.

The previous prime is 6875620889. The next prime is 6875620949. The reversal of 6875620920 is 290265786.

6875620920 is a `hidden beast` number, since 6 + 87 + 562 + 0 + 9 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 18141291 + ... + 18141669.

It is an arithmetic number, because the mean of its divisors is an integer number (69802200).

Almost surely, 2^6875620920 is an apocalyptic number.

6875620920 is a gapful number since it is divisible by the number (60) 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 6875620920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402022400).

6875620920 is an abundant number, since it is smaller than the sum of its proper divisors (19928423880).

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

6875620920 is a wasteful number, since it uses less digits than its factorization.

6875620920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6875620920 is about 82919.3639628284. The cubic root of 6875620920 is about 1901.5334730027.

It can be divided in two parts, 68756 and 20920, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 6875620920 in words is "six billion, eight hundred seventy-five million, six hundred twenty thousand, nine hundred twenty".