7416102960 has 480 divisors, whose sum is σ = 30457425600. Its totient is φ = 1652797440.

The previous prime is 7416102943. The next prime is 7416102961. The reversal of 7416102960 is 692016147.

It is a super-2 number, since 2×7416102960² (a number of 21 digits) contains 22 as substring.

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 (7416102961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4338586 + ... + 4340294.

It is an arithmetic number, because the mean of its divisors is an integer number (63452970).

Almost surely, 2^7416102960 is an apocalyptic number.

7416102960 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 7416102960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228712800).

7416102960 is an abundant number, since it is smaller than the sum of its proper divisors (23041322640).

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

7416102960 is a wasteful number, since it uses less digits than its factorization.

7416102960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7416102960 is about 86116.7983612953. The cubic root of 7416102960 is about 1950.1076390287.

The spelling of 7416102960 in words is "seven billion, four hundred sixteen million, one hundred two thousand, nine hundred sixty".