7290961920 has 720 divisors, whose sum is σ = 29443115520. Its totient is φ = 1651507200.

The previous prime is 7290961901. The next prime is 7290961957. The reversal of 7290961920 is 291690927.

7290961920 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 9 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 235192305 + ... + 235192335.

It is an arithmetic number, because the mean of its divisors is an integer number (40893216).

Almost surely, 2^7290961920 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 7290961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721557760).

7290961920 is an abundant number, since it is smaller than the sum of its proper divisors (22152153600).

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

7290961920 is a wasteful number, since it uses less digits than its factorization.

7290961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 7290961920 is about 85387.1297093420. The cubic root of 7290961920 is about 1939.0765009741.

The spelling of 7290961920 in words is "seven billion, two hundred ninety million, nine hundred sixty-one thousand, nine hundred twenty".