71693475840 has 980 divisors, whose sum is σ = 300938638914. Its totient is φ = 16387080192.

The previous prime is 71693475803. The next prime is 71693475853. The reversal of 71693475840 is 4857439617.

71693475840 is a `hidden beast` number, since 7 + 1 + 6 + 93 + 475 + 84 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64524128256 + 7169347584 = 254016^2 + 84672^2 .

It is a tau number, because it is divible by the number of its divisors (980).

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

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 10241925117 + ... + 10241925123.

Almost surely, 2^71693475840 is an apocalyptic number.

71693475840 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 71693475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150469319457).

71693475840 is an abundant number, since it is smaller than the sum of its proper divisors (229245163074).

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

71693475840 is an frugal number, since it uses more digits than its factorization.

71693475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 71693475840 in words is "seventy-one billion, six hundred ninety-three million, four hundred seventy-five thousand, eight hundred forty".