71954049600 has 336 divisors, whose sum is σ = 265550335040. Its totient is φ = 19186813440.

The previous prime is 71954049547. The next prime is 71954049611. The reversal of 71954049600 is 694045917.

71954049600 is a `hidden beast` number, since 7 + 1 + 9 + 540 + 49 + 60 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3488919 + ... + 3509481.

Almost surely, 2^71954049600 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 71954049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132775167520).

71954049600 is an abundant number, since it is smaller than the sum of its proper divisors (193596285440).

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

71954049600 is an equidigital number, since it uses as much as digits as its factorization.

71954049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20606 (or 20573 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 71954049600 in words is "seventy-one billion, nine hundred fifty-four million, forty-nine thousand, six hundred".