6941749248 has 520 divisors, whose sum is σ = 24579552800. Its totient is φ = 1950842880.

The previous prime is 6941749231. The next prime is 6941749249. The reversal of 6941749248 is 8429471496.

It is a super-4 number, since 4×6941749248⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6941749194 and 6941749203.

It is not an unprimeable number, because it can be changed into a prime (6941749249) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113799138 + ... + 113799198.

Almost surely, 2^6941749248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6941749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289776400).

6941749248 is an abundant number, since it is smaller than the sum of its proper divisors (17637803552).

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

6941749248 is an frugal number, since it uses more digits than its factorization.

6941749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 6941749248 is about 83317.1605853200. The cubic root of 6941749248 is about 1907.6102206041.

The spelling of 6941749248 in words is "six billion, nine hundred forty-one million, seven hundred forty-nine thousand, two hundred forty-eight".