7491942720 has 672 divisors, whose sum is σ = 28757514240. Its totient is φ = 1852139520.

The previous prime is 7491942719. The next prime is 7491942767. The reversal of 7491942720 is 272491947.

It is a happy number.

7491942720 is a `hidden beast` number, since 7 + 491 + 94 + 2 + 72 + 0 = 666.

It is a super-2 number, since 2×7491942720² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 105520285 + ... + 105520355.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 2^7491942720 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 7491942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

7491942720 is an abundant number, since it is smaller than the sum of its proper divisors (21265571520).

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

7491942720 is a wasteful number, since it uses less digits than its factorization.

7491942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

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

The square root of 7491942720 is about 86556.0091501451. The cubic root of 7491942720 is about 1956.7326097589.

The spelling of 7491942720 in words is "seven billion, four hundred ninety-one million, nine hundred forty-two thousand, seven hundred twenty".