7451851680 has 1152 divisors, whose sum is σ = 34210874880. Its totient is φ = 1433272320.

The previous prime is 7451851643. The next prime is 7451851697. The reversal of 7451851680 is 861581547.

7451851680 is a `hidden beast` number, since 7 + 4 + 51 + 8 + 516 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102080124 + ... + 102080196.

It is an arithmetic number, because the mean of its divisors is an integer number (29696940).

Almost surely, 2^7451851680 is an apocalyptic number.

7451851680 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 7451851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17105437440).

7451851680 is an abundant number, since it is smaller than the sum of its proper divisors (26759023200).

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

7451851680 is a wasteful number, since it uses less digits than its factorization.

7451851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 7451851680 is about 86324.1083359683. The cubic root of 7451851680 is about 1953.2360626184.

The spelling of 7451851680 in words is "seven billion, four hundred fifty-one million, eight hundred fifty-one thousand, six hundred eighty".