7346561640 has 256 divisors, whose sum is σ = 24820992000. Its totient is φ = 1723898880.

The previous prime is 7346561633. The next prime is 7346561647. The reversal of 7346561640 is 461656437.

It is an interprime number because it is at equal distance from previous prime (7346561633) and next prime (7346561647).

It is a junction number, because it is equal to n+sod(n) for n = 7346561592 and 7346561601.

It is not an unprimeable number, because it can be changed into a prime (7346561647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17533351 + ... + 17533769.

It is an arithmetic number, because the mean of its divisors is an integer number (96957000).

Almost surely, 2^7346561640 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 7346561640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496000).

7346561640 is an abundant number, since it is smaller than the sum of its proper divisors (17474430360).

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

7346561640 is a wasteful number, since it uses less digits than its factorization.

7346561640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 7346561640 is about 85712.0857289099. The cubic root of 7346561640 is about 1943.9930544723.

The spelling of 7346561640 in words is "seven billion, three hundred forty-six million, five hundred sixty-one thousand, six hundred forty".