71964444789900 has 1296 divisors, whose sum is σ = 273186874920960. Its totient is φ = 15758513971200.

The previous prime is 71964444789871. The next prime is 71964444789949. The reversal of 71964444789900 is 998744446917.

71964444789900 is a `hidden beast` number, since 7 + 1 + 9 + 64 + 4 + 4 + 478 + 9 + 90 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3446727661 + ... + 3446748539.

It is an arithmetic number, because the mean of its divisors is an integer number (210792341760).

Almost surely, 2^{71964444789900} 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 71964444789900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136593437460480).

71964444789900 is an abundant number, since it is smaller than the sum of its proper divisors (201222430131060).

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

71964444789900 is a wasteful number, since it uses less digits than its factorization.

71964444789900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21016 (or 20993 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 71964444789900 in words is "seventy-one trillion, nine hundred sixty-four billion, four hundred forty-four million, seven hundred eighty-nine thousand, nine hundred".