7949745408 has 288 divisors, whose sum is σ = 24550565760. Its totient is φ = 2260500480.

The previous prime is 7949745383. The next prime is 7949745409. The reversal of 7949745408 is 8045479497.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949745409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9064266 + ... + 9065142.

It is an arithmetic number, because the mean of its divisors is an integer number (85245020).

Almost surely, 2^7949745408 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 7949745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275282880).

7949745408 is an abundant number, since it is smaller than the sum of its proper divisors (16600820352).

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

7949745408 is a wasteful number, since it uses less digits than its factorization.

7949745408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The square root of 7949745408 is about 89161.3448081622. The cubic root of 7949745408 is about 1995.8033174204.

It can be divided in two parts, 7949 and 745408, that added together give a palindrome (753357).

The spelling of 7949745408 in words is "seven billion, nine hundred forty-nine million, seven hundred forty-five thousand, four hundred eight".