6953984640 has 384 divisors, whose sum is σ = 25983659520. Its totient is φ = 1707048960.

The previous prime is 6953984581. The next prime is 6953984641. The reversal of 6953984640 is 464893596.

6953984640 is a `hidden beast` number, since 6 + 95 + 3 + 98 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (6953984641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4601485 + ... + 4602995.

It is an arithmetic number, because the mean of its divisors is an integer number (67665780).

Almost surely, 2^6953984640 is an apocalyptic number.

6953984640 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 6953984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991829760).

6953984640 is an abundant number, since it is smaller than the sum of its proper divisors (19029674880).

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

6953984640 is a wasteful number, since it uses less digits than its factorization.

6953984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 6953984640 is about 83390.5548608474. The cubic root of 6953984640 is about 1908.7303349693.

The spelling of 6953984640 in words is "six billion, nine hundred fifty-three million, nine hundred eighty-four thousand, six hundred forty".