71993715948 has 504 divisors, whose sum is σ = 240442651904. Its totient is φ = 18452681280.

The previous prime is 71993715919. The next prime is 71993715953. The reversal of 71993715948 is 84951739917.

71993715948 is a `hidden beast` number, since 7 + 1 + 9 + 9 + 37 + 1 + 594 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 254394615 + ... + 254394897.

Almost surely, 2^71993715948 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 71993715948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120221325952).

71993715948 is an abundant number, since it is smaller than the sum of its proper divisors (168448935956).

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

71993715948 is a wasteful number, since it uses less digits than its factorization.

71993715948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 409 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 71993715948 in words is "seventy-one billion, nine hundred ninety-three million, seven hundred fifteen thousand, nine hundred forty-eight".