7355040480 has 288 divisors, whose sum is σ = 26842705344. Its totient is φ = 1827422208.

The previous prime is 7355040443. The next prime is 7355040491. The reversal of 7355040480 is 840405537.

7355040480 is a `hidden beast` number, since 73 + 5 + 504 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2519982 + ... + 2522898.

It is an arithmetic number, because the mean of its divisors is an integer number (93203838).

Almost surely, 2^7355040480 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 7355040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421352672).

7355040480 is an abundant number, since it is smaller than the sum of its proper divisors (19487664864).

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

7355040480 is a wasteful number, since it uses less digits than its factorization.

7355040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 7355040480 is about 85761.5326355587. The cubic root of 7355040480 is about 1944.7406363514.

The spelling of 7355040480 in words is "seven billion, three hundred fifty-five million, forty thousand, four hundred eighty".