7345920960 has 336 divisors, whose sum is σ = 28975604736. Its totient is φ = 1673312256.

The previous prime is 7345920943. The next prime is 7345920979. The reversal of 7345920960 is 690295437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9333687 + ... + 9334473.

Almost surely, 2^7345920960 is an apocalyptic number.

7345920960 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 7345920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487802368).

7345920960 is an abundant number, since it is smaller than the sum of its proper divisors (21629683776).

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

7345920960 is a wasteful number, since it uses less digits than its factorization.

7345920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 7345920960 is about 85708.3482514976. The cubic root of 7345920960 is about 1943.9365421546.

The spelling of 7345920960 in words is "seven billion, three hundred forty-five million, nine hundred twenty thousand, nine hundred sixty".