7448940576 has 768 divisors, whose sum is σ = 29262643200. Its totient is φ = 1785369600.

The previous prime is 7448940553. The next prime is 7448940589. The reversal of 7448940576 is 6750498447.

7448940576 is a `hidden beast` number, since 74 + 489 + 40 + 57 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89746231 + ... + 89746313.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 2^7448940576 is an apocalyptic number.

7448940576 is a gapful number since it is divisible by the number (76) 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 7448940576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631321600).

7448940576 is an abundant number, since it is smaller than the sum of its proper divisors (21813702624).

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

7448940576 is a wasteful number, since it uses less digits than its factorization.

7448940576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7448940576 is about 86307.2452115116. The cubic root of 7448940576 is about 1952.9816822688.

The spelling of 7448940576 in words is "seven billion, four hundred forty-eight million, nine hundred forty thousand, five hundred seventy-six".