71715645540 has 480 divisors, whose sum is σ = 295260134400. Its totient is φ = 14117172480.

The previous prime is 71715645527. The next prime is 71715645563. The reversal of 71715645540 is 4554651717.

71715645540 is a `hidden beast` number, since 7 + 1 + 7 + 156 + 455 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2354931 + ... + 2385189.

It is an arithmetic number, because the mean of its divisors is an integer number (615125280).

Almost surely, 2^71715645540 is an apocalyptic number.

71715645540 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 71715645540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147630067200).

71715645540 is an abundant number, since it is smaller than the sum of its proper divisors (223544488860).

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

71715645540 is a wasteful number, since it uses less digits than its factorization.

71715645540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30317 (or 30306 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 71715645540 in words is "seventy-one billion, seven hundred fifteen million, six hundred forty-five thousand, five hundred forty".