6940200960 has 832 divisors, whose sum is σ = 30950184960. Its totient is φ = 1433272320.

The previous prime is 6940200959. The next prime is 6940200973. The reversal of 6940200960 is 690020496.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577839 + ... + 42578001.

Almost surely, 2^6940200960 is an apocalyptic number.

6940200960 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 6940200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475092480).

6940200960 is an abundant number, since it is smaller than the sum of its proper divisors (24009984000).

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

6940200960 is a wasteful number, since it uses less digits than its factorization.

6940200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6940200960 is about 83307.8685359312. The cubic root of 6940200960 is about 1907.4683855747.

The spelling of 6940200960 in words is "six billion, nine hundred forty million, two hundred thousand, nine hundred sixty".