71264793600 has 2112 divisors, whose sum is σ = 354790625280. Its totient is φ = 13536460800.

The previous prime is 71264793599. The next prime is 71264793637. The reversal of 71264793600 is 639746217.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691891149 + ... + 691891251.

Almost surely, 2^71264793600 is an apocalyptic number.

71264793600 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 71264793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395312640).

71264793600 is an abundant number, since it is smaller than the sum of its proper divisors (283525831680).

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

71264793600 is a wasteful number, since it uses less digits than its factorization.

71264793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 71264793600 in words is "seventy-one billion, two hundred sixty-four million, seven hundred ninety-three thousand, six hundred".