7451660160 has 768 divisors, whose sum is σ = 31620326400. Its totient is φ = 1579253760.

The previous prime is 7451660159. The next prime is 7451660213. The reversal of 7451660160 is 610661547.

7451660160 is a `hidden beast` number, since 7 + 45 + 1 + 6 + 601 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 54391612 + ... + 54391748.

It is an arithmetic number, because the mean of its divisors is an integer number (41172300).

Almost surely, 2^7451660160 is an apocalyptic number.

7451660160 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 7451660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810163200).

7451660160 is an abundant number, since it is smaller than the sum of its proper divisors (24168666240).

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

7451660160 is a wasteful number, since it uses less digits than its factorization.

7451660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7451660160 is about 86322.9990211184. Note that the first 3 decimals coincide. The cubic root of 7451660160 is about 1953.2193291052.

The spelling of 7451660160 in words is "seven billion, four hundred fifty-one million, six hundred sixty thousand, one hundred sixty".