7138644480 has 640 divisors, whose sum is σ = 28460678400. Its totient is φ = 1680998400.

The previous prime is 7138644467. The next prime is 7138644497. The reversal of 7138644480 is 844468317.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31173006 + ... + 31173234.

It is an arithmetic number, because the mean of its divisors is an integer number (44469810).

Almost surely, 2^7138644480 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 7138644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230339200).

7138644480 is an abundant number, since it is smaller than the sum of its proper divisors (21322033920).

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

7138644480 is a wasteful number, since it uses less digits than its factorization.

7138644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7138644480 is about 84490.4993475598. The cubic root of 7138644480 is about 1925.4781051163.

The spelling of 7138644480 in words is "seven billion, one hundred thirty-eight million, six hundred forty-four thousand, four hundred eighty".