6965024640 has 384 divisors, whose sum is σ = 26116953120. Its totient is φ = 1574092800.

The previous prime is 6965024639. The next prime is 6965024683. The reversal of 6965024640 is 464205696.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6965024592 and 6965024601.

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 47 ways as a sum of consecutive naturals, for example, 9501714 + ... + 9502446.

Almost surely, 2^6965024640 is an apocalyptic number.

6965024640 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 6965024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058476560).

6965024640 is an abundant number, since it is smaller than the sum of its proper divisors (19151928480).

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

6965024640 is a wasteful number, since it uses less digits than its factorization.

6965024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 6965024640 is about 83456.7231563761. The cubic root of 6965024640 is about 1909.7398876433.

The spelling of 6965024640 in words is "six billion, nine hundred sixty-five million, twenty-four thousand, six hundred forty".