7347145680 has 240 divisors, whose sum is σ = 29858160384. Its totient is φ = 1580544000.

The previous prime is 7347145649. The next prime is 7347145681. The reversal of 7347145680 is 865417437.

7347145680 is a `hidden beast` number, since 73 + 4 + 7 + 14 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (7347145681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42805 + ... + 128555.

Almost surely, 2^7347145680 is an apocalyptic number.

7347145680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7347145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929080192).

7347145680 is an abundant number, since it is smaller than the sum of its proper divisors (22511014704).

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

7347145680 is a wasteful number, since it uses less digits than its factorization.

7347145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85794 (or 85785 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7347145680 is about 85715.4926486455. The cubic root of 7347145680 is about 1944.0445678956.

The spelling of 7347145680 in words is "seven billion, three hundred forty-seven million, one hundred forty-five thousand, six hundred eighty".