7406414680 has 96 divisors (see below), whose sum is σ = 19405805040. Its totient is φ = 2536638720.

The previous prime is 7406414663. The next prime is 7406414689. The reversal of 7406414680 is 864146047.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7406414689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925015 + ... + 2927545.

Almost surely, 2^7406414680 is an apocalyptic number.

7406414680 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 7406414680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9702902520).

7406414680 is an abundant number, since it is smaller than the sum of its proper divisors (11999390360).

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

7406414680 is a wasteful number, since it uses less digits than its factorization.

7406414680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 7406414680 is about 86060.5291640715. The cubic root of 7406414680 is about 1949.2580723416.

The spelling of 7406414680 in words is "seven billion, four hundred six million, four hundred fourteen thousand, six hundred eighty".