6936681024 has 448 divisors, whose sum is σ = 25926369280. Its totient is φ = 1769195520.

The previous prime is 6936681023. The next prime is 6936681029. The reversal of 6936681024 is 4201866396.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (6936681023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4873977 + ... + 4875399.

It is an arithmetic number, because the mean of its divisors is an integer number (57871360).

Almost surely, 2^6936681024 is an apocalyptic number.

6936681024 is a gapful number since it is divisible by the number (64) 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 6936681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963184640).

6936681024 is an abundant number, since it is smaller than the sum of its proper divisors (18989688256).

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

6936681024 is a wasteful number, since it uses less digits than its factorization.

6936681024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6936681024 is about 83286.7397849141. The cubic root of 6936681024 is about 1907.1458539892.

The spelling of 6936681024 in words is "six billion, nine hundred thirty-six million, six hundred eighty-one thousand, twenty-four".