7949269440 has 336 divisors, whose sum is σ = 32095756992. Its totient is φ = 1767702528.

The previous prime is 7949269439. The next prime is 7949269441. The reversal of 7949269440 is 449629497.

It is an interprime number because it is at equal distance from previous prime (7949269439) and next prime (7949269441).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949269441) 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, 740592 + ... + 751248.

Almost surely, 2^7949269440 is an apocalyptic number.

7949269440 is a gapful number since it is divisible by the number (70) 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 7949269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047878496).

7949269440 is an abundant number, since it is smaller than the sum of its proper divisors (24146487552).

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

7949269440 is a wasteful number, since it uses less digits than its factorization.

7949269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7949269440 is about 89158.6756294641. The cubic root of 7949269440 is about 1995.7634856428.

The spelling of 7949269440 in words is "seven billion, nine hundred forty-nine million, two hundred sixty-nine thousand, four hundred forty".