7354680680 has 64 divisors (see below), whose sum is σ = 16879266000. Its totient is φ = 2883112960.

The previous prime is 7354680673. The next prime is 7354680689. The reversal of 7354680680 is 860864537.

It can be written as a sum of positive squares in 8 ways, for example, as 4528482436 + 2826198244 = 67294^2 + 53162^2 .

It is a super-3 number, since 3×7354680680³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7354680689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884046 + ... + 2886594.

Almost surely, 2^7354680680 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 7354680680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439633000).

7354680680 is an abundant number, since it is smaller than the sum of its proper divisors (9524585320).

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

7354680680 is a wasteful number, since it uses less digits than its factorization.

7354680680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 7354680680 is about 85759.4349328399. The cubic root of 7354680680 is about 1944.7089243532.

The spelling of 7354680680 in words is "seven billion, three hundred fifty-four million, six hundred eighty thousand, six hundred eighty".