71837478685440 has 576 divisors, whose sum is σ = 290681774409600. Its totient is φ = 16642889220096.

The previous prime is 71837478685439. The next prime is 71837478685481. The reversal of 71837478685440 is 4458687473817.

71837478685440 is a `hidden beast` number, since 7 + 1 + 8 + 3 + 7 + 4 + 78 + 6 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2934976 + ... + 12340544.

It is an arithmetic number, because the mean of its divisors is an integer number (504655858350).

Almost surely, 2^{71837478685440} 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 71837478685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340887204800).

71837478685440 is an abundant number, since it is smaller than the sum of its proper divisors (218844295724160).

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

71837478685440 is a wasteful number, since it uses less digits than its factorization.

71837478685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405629 (or 9405609 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 71837478685440 in words is "seventy-one trillion, eight hundred thirty-seven billion, four hundred seventy-eight million, six hundred eighty-five thousand, four hundred forty".