7460380096 has 336 divisors, whose sum is σ = 18864437760. Its totient is φ = 2895298560.

The previous prime is 7460380069. The next prime is 7460380099. The reversal of 7460380096 is 6900830647.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7460380099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105075741 + ... + 105075811.

It is an arithmetic number, because the mean of its divisors is an integer number (56144160).

Almost surely, 2^7460380096 is an apocalyptic number.

7460380096 is a gapful number since it is divisible by the number (76) 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 7460380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432218880).

7460380096 is an abundant number, since it is smaller than the sum of its proper divisors (11404057664).

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

7460380096 is a wasteful number, since it uses less digits than its factorization.

7460380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 7460380096 is about 86373.4918594820. The cubic root of 7460380096 is about 1953.9809181514.

The spelling of 7460380096 in words is "seven billion, four hundred sixty million, three hundred eighty thousand, ninety-six".