7271994240 has 512 divisors, whose sum is σ = 29846016000. Its totient is φ = 1638973440.

The previous prime is 7271994211. The next prime is 7271994253. The reversal of 7271994240 is 424991727.

It is a happy number.

7271994240 is a `hidden beast` number, since 72 + 71 + 99 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9555460 + ... + 9556220.

It is an arithmetic number, because the mean of its divisors is an integer number (58293000).

Almost surely, 2^7271994240 is an apocalyptic number.

7271994240 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 7271994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923008000).

7271994240 is an abundant number, since it is smaller than the sum of its proper divisors (22574021760).

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

7271994240 is a wasteful number, since it uses less digits than its factorization.

7271994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7271994240 is about 85275.9886486225. The cubic root of 7271994240 is about 1937.3935166730.

The spelling of 7271994240 in words is "seven billion, two hundred seventy-one million, nine hundred ninety-four thousand, two hundred forty".