7290666240 has 864 divisors, whose sum is σ = 29594896128. Its totient is φ = 1513881600.

The previous prime is 7290666217. The next prime is 7290666277. The reversal of 7290666240 is 426660927.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7290666192 and 7290666201.

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, 102685405 + ... + 102685475.

It is an arithmetic number, because the mean of its divisors is an integer number (34253352).

Almost surely, 2^7290666240 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 7290666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14797448064).

7290666240 is an abundant number, since it is smaller than the sum of its proper divisors (22304229888).

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

7290666240 is a wasteful number, since it uses less digits than its factorization.

7290666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 7290666240 is about 85385.3982833131. The cubic root of 7290666240 is about 1939.0502879770.

The spelling of 7290666240 in words is "seven billion, two hundred ninety million, six hundred sixty-six thousand, two hundred forty".