7406597880 has 320 divisors, whose sum is σ = 27549434880. Its totient is φ = 1769644800.

The previous prime is 7406597843. The next prime is 7406597881. The reversal of 7406597880 is 887956047.

7406597880 is a `hidden beast` number, since 7 + 40 + 6 + 597 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7406597881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2528977 + ... + 2531903.

It is an arithmetic number, because the mean of its divisors is an integer number (86091984).

Almost surely, 2^7406597880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7406597880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774717440).

7406597880 is an abundant number, since it is smaller than the sum of its proper divisors (20142837000).

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

7406597880 is a wasteful number, since it uses less digits than its factorization.

7406597880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7406597880 is about 86061.5935246379. The cubic root of 7406597880 is about 1949.2741440466.

The spelling of 7406597880 in words is "seven billion, four hundred six million, five hundred ninety-seven thousand, eight hundred eighty".