71677124640 has 384 divisors, whose sum is σ = 274130438400. Its totient is φ = 17347461120.

The previous prime is 71677124611. The next prime is 71677124671. The reversal of 71677124640 is 4642177617.

It is a super-2 number, since 2×71677124640² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 48137016 + ... + 48138504.

It is an arithmetic number, because the mean of its divisors is an integer number (713881350).

Almost surely, 2^71677124640 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 71677124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137065219200).

71677124640 is an abundant number, since it is smaller than the sum of its proper divisors (202453313760).

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

71677124640 is a wasteful number, since it uses less digits than its factorization.

71677124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 71677124640 in words is "seventy-one billion, six hundred seventy-seven million, one hundred twenty-four thousand, six hundred forty".