7138880640 has 768 divisors, whose sum is σ = 27935107200. Its totient is φ = 1672151040.

The previous prime is 7138880627. The next prime is 7138880641. The reversal of 7138880640 is 460888317.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7138880641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166020459 + ... + 166020501.

Almost surely, 2^7138880640 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 7138880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967553600).

7138880640 is an abundant number, since it is smaller than the sum of its proper divisors (20796226560).

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

7138880640 is a wasteful number, since it uses less digits than its factorization.

7138880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7138880640 is about 84491.8968895834. The cubic root of 7138880640 is about 1925.4993377139.

It can be divided in two parts, 7138 and 880640, that added together give a triangular number (887778 = T₁₃₃₂).

The spelling of 7138880640 in words is "seven billion, one hundred thirty-eight million, eight hundred eighty thousand, six hundred forty".