7140607488 has 320 divisors, whose sum is σ = 24481290240. Its totient is φ = 2037934080.

The previous prime is 7140607457. The next prime is 7140607489. The reversal of 7140607488 is 8847060417.

7140607488 is a `hidden beast` number, since 71 + 40 + 60 + 7 + 488 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7140607489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7837753 + ... + 7838663.

It is an arithmetic number, because the mean of its divisors is an integer number (76504032).

Almost surely, 2^7140607488 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 7140607488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240645120).

7140607488 is an abundant number, since it is smaller than the sum of its proper divisors (17340682752).

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

7140607488 is an frugal number, since it uses more digits than its factorization.

7140607488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 7140607488 is about 84502.1152871335. The cubic root of 7140607488 is about 1925.6545803811.

The spelling of 7140607488 in words is "seven billion, one hundred forty million, six hundred seven thousand, four hundred eighty-eight".