71583632640 has 864 divisors, whose sum is σ = 291844740096. Its totient is φ = 16031416320.

The previous prime is 71583632633. The next prime is 71583632663. The reversal of 71583632640 is 4623638517.

71583632640 is a `hidden beast` number, since 7 + 1 + 5 + 8 + 3 + 632 + 6 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 78923067 + ... + 78923973.

It is an arithmetic number, because the mean of its divisors is an integer number (337783264).

Almost surely, 2^71583632640 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 71583632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145922370048).

71583632640 is an abundant number, since it is smaller than the sum of its proper divisors (220261107456).

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

71583632640 is a wasteful number, since it uses less digits than its factorization.

71583632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 715836 and 32640, that added together give a triangular number (748476 = T₁₂₂₃).

The spelling of 71583632640 in words is "seventy-one billion, five hundred eighty-three million, six hundred thirty-two thousand, six hundred forty".