7405345867920 has 960 divisors, whose sum is σ = 32691080970240. Its totient is φ = 1345638666240.

The previous prime is 7405345867891. The next prime is 7405345867921. The reversal of 7405345867920 is 297685435047.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (7405345867921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50136417 + ... + 50283903.

It is an arithmetic number, because the mean of its divisors is an integer number (34053209344).

Almost surely, 2^{7405345867920} is an apocalyptic number.

7405345867920 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 7405345867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345540485120).

7405345867920 is an abundant number, since it is smaller than the sum of its proper divisors (25285735102320).

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

7405345867920 is a wasteful number, since it uses less digits than its factorization.

7405345867920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147564 (or 147547 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 7405345867920 in words is "seven trillion, four hundred five billion, three hundred forty-five million, eight hundred sixty-seven thousand, nine hundred twenty".