71939653632 has 630 divisors, whose sum is σ = 269995608344. Its totient is φ = 18685624320.

The previous prime is 71939653607. The next prime is 71939653649. The reversal of 71939653632 is 23635693917.

71939653632 is a `hidden beast` number, since 7 + 19 + 3 + 96 + 536 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5511240) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6539968507 + ... + 6539968517.

Almost surely, 2^71939653632 is an apocalyptic number.

71939653632 is a gapful number since it is divisible by the number (72) 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 71939653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134997804172).

71939653632 is an abundant number, since it is smaller than the sum of its proper divisors (198055954712).

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

71939653632 is an frugal number, since it uses more digits than its factorization.

71939653632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 54.

The spelling of 71939653632 in words is "seventy-one billion, nine hundred thirty-nine million, six hundred fifty-three thousand, six hundred thirty-two".