7285346640 has 360 divisors, whose sum is σ = 28907248032. Its totient is φ = 1629987840.

The previous prime is 7285346573. The next prime is 7285346647. The reversal of 7285346640 is 466435827.

7285346640 is a `hidden beast` number, since 72 + 8 + 534 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7285346647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1335759 + ... + 1341201.

Almost surely, 2^7285346640 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 7285346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453624016).

7285346640 is an abundant number, since it is smaller than the sum of its proper divisors (21621901392).

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

7285346640 is a wasteful number, since it uses less digits than its factorization.

7285346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7285346640 is about 85354.2420738419. The cubic root of 7285346640 is about 1938.5785669506.

The spelling of 7285346640 in words is "seven billion, two hundred eighty-five million, three hundred forty-six thousand, six hundred forty".