6941975040 has 1440 divisors, whose sum is σ = 33620723136. Its totient is φ = 1300561920.

The previous prime is 6941975017. The next prime is 6941975063. The reversal of 6941975040 is 405791496.

It is an interprime number because it is at equal distance from previous prime (6941975017) and next prime (6941975063).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161441259 + ... + 161441301.

Almost surely, 2^6941975040 is an apocalyptic number.

6941975040 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 6941975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810361568).

6941975040 is an abundant number, since it is smaller than the sum of its proper divisors (26678748096).

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

6941975040 is a wasteful number, since it uses less digits than its factorization.

6941975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6941975040 is about 83318.5155892734. The cubic root of 6941975040 is about 1907.6309031171.

The spelling of 6941975040 in words is "six billion, nine hundred forty-one million, nine hundred seventy-five thousand, forty".