6952055040 has 864 divisors, whose sum is σ = 29713022976. Its totient is φ = 1522851840.

The previous prime is 6952054981. The next prime is 6952055083. The reversal of 6952055040 is 405502596.

6952055040 is a `hidden beast` number, since 69 + 5 + 2 + 0 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 6952054986 and 6952055004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67495629 + ... + 67495731.

Almost surely, 2^6952055040 is an apocalyptic number.

6952055040 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 6952055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856511488).

6952055040 is an abundant number, since it is smaller than the sum of its proper divisors (22760967936).

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

6952055040 is a wasteful number, since it uses less digits than its factorization.

6952055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 6952055040 is about 83378.9844025459. The cubic root of 6952055040 is about 1908.5537730430.

The spelling of 6952055040 in words is "six billion, nine hundred fifty-two million, fifty-five thousand, forty".