7455381120 has 576 divisors, whose sum is σ = 29839773600. Its totient is φ = 1709199360.

The previous prime is 7455381097. The next prime is 7455381121. The reversal of 7455381120 is 211835547.

7455381120 is a `hidden beast` number, since 7 + 4 + 5 + 538 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7455381121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13241959 + ... + 13242521.

Almost surely, 2^7455381120 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 7455381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919886800).

7455381120 is an abundant number, since it is smaller than the sum of its proper divisors (22384392480).

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

7455381120 is a wasteful number, since it uses less digits than its factorization.

7455381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7455381120 is about 86344.5488725258. The cubic root of 7455381120 is about 1953.5443860477.

The spelling of 7455381120 in words is "seven billion, four hundred fifty-five million, three hundred eighty-one thousand, one hundred twenty".