7247321640 has 384 divisors, whose sum is σ = 26641872000. Its totient is φ = 1751113728.

The previous prime is 7247321621. The next prime is 7247321657. The reversal of 7247321640 is 461237427.

7247321640 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 3 + 2 + 1 + 640 = 666.

It is a super-2 number, since 2×7247321640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7247321595 and 7247321604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10768344 + ... + 10769016.

It is an arithmetic number, because the mean of its divisors is an integer number (69379875).

Almost surely, 2^7247321640 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 7247321640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320936000).

7247321640 is an abundant number, since it is smaller than the sum of its proper divisors (19394550360).

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

7247321640 is a wasteful number, since it uses less digits than its factorization.

7247321640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7247321640 is about 85131.2025053094. The cubic root of 7247321640 is about 1935.1999552997.

The spelling of 7247321640 in words is "seven billion, two hundred forty-seven million, three hundred twenty-one thousand, six hundred forty".