7346001040 has 80 divisors (see below), whose sum is σ = 19551248640. Its totient is φ = 2514516480.

The previous prime is 7346001031. The next prime is 7346001041. The reversal of 7346001040 is 401006437.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 7346000996 and 7346001014.

It is not an unprimeable number, because it can be changed into a prime (7346001041) 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, 342966 + ... + 363754.

It is an arithmetic number, because the mean of its divisors is an integer number (244390608).

Almost surely, 2^7346001040 is an apocalyptic number.

7346001040 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 7346001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775624320).

7346001040 is an abundant number, since it is smaller than the sum of its proper divisors (12205247600).

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

7346001040 is a wasteful number, since it uses less digits than its factorization.

7346001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21440 (or 21434 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 7346001040 is about 85708.8154159186. The cubic root of 7346001040 is about 1943.9436059329.

Adding to 7346001040 its reverse (401006437), we get a palindrome (7747007477).

The spelling of 7346001040 in words is "seven billion, three hundred forty-six million, one thousand, forty".