6945020521920 has 336 divisors, whose sum is σ = 25928094366720. Its totient is φ = 1696081379328.

The previous prime is 6945020521919. The next prime is 6945020521937. The reversal of 6945020521920 is 291250205496.

6945020521920 is a `hidden beast` number, since 6 + 9 + 4 + 502 + 0 + 52 + 1 + 92 + 0 = 666.

It is a super-3 number, since 3×6945020521920³ (a number of 40 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4024576 + ... + 5485184.

It is an arithmetic number, because the mean of its divisors is an integer number (77166947520).

Almost surely, 2^{6945020521920} is an apocalyptic number.

6945020521920 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 6945020521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964047183360).

6945020521920 is an abundant number, since it is smaller than the sum of its proper divisors (18983073844800).

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

6945020521920 is a wasteful number, since it uses less digits than its factorization.

6945020521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460772 (or 1460759 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 6945020521920 in words is "six trillion, nine hundred forty-five billion, twenty million, five hundred twenty-one thousand, nine hundred twenty".