71096192640 has 768 divisors, whose sum is σ = 284560416000. Its totient is φ = 16751370240.

The previous prime is 71096192617. The next prime is 71096192669. The reversal of 71096192640 is 4629169017.

71096192640 is a `hidden beast` number, since 7 + 1 + 0 + 9 + 619 + 26 + 4 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77362101 + ... + 77363019.

It is an arithmetic number, because the mean of its divisors is an integer number (370521375).

Almost surely, 2^71096192640 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 71096192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142280208000).

71096192640 is an abundant number, since it is smaller than the sum of its proper divisors (213464223360).

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

71096192640 is a wasteful number, since it uses less digits than its factorization.

71096192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 71096192640 in words is "seventy-one billion, ninety-six million, one hundred ninety-two thousand, six hundred forty".