71229896640 has 840 divisors, whose sum is σ = 312177531600. Its totient is φ = 15318761472.

The previous prime is 71229896627. The next prime is 71229896677. The reversal of 71229896640 is 4669892217.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 21589711 + ... + 21593009.

Almost surely, 2^71229896640 is an apocalyptic number.

71229896640 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 71229896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156088765800).

71229896640 is an abundant number, since it is smaller than the sum of its proper divisors (240947634960).

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

71229896640 is a wasteful number, since it uses less digits than its factorization.

71229896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 71229896640 in words is "seventy-one billion, two hundred twenty-nine million, eight hundred ninety-six thousand, six hundred forty".