7466981760 has 768 divisors, whose sum is σ = 32256806400. Its totient is φ = 1616910336.

The previous prime is 7466981707. The next prime is 7466981771. The reversal of 7466981760 is 671896647.

It is a happy number.

7466981760 is a `hidden beast` number, since 7 + 466 + 9 + 8 + 176 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7466981697 and 7466981706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392999031 + ... + 392999049.

It is an arithmetic number, because the mean of its divisors is an integer number (42001050).

Almost surely, 2^7466981760 is an apocalyptic number.

7466981760 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 7466981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128403200).

7466981760 is an abundant number, since it is smaller than the sum of its proper divisors (24789824640).

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

7466981760 is an frugal number, since it uses more digits than its factorization.

7466981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7466981760 is about 86411.6992079198. The cubic root of 7466981760 is about 1954.5571051675.

The spelling of 7466981760 in words is "seven billion, four hundred sixty-six million, nine hundred eighty-one thousand, seven hundred sixty".