71977951680 has 224 divisors, whose sum is σ = 242969393664. Its totient is φ = 18012893184.

The previous prime is 71977951667. The next prime is 71977951711. The reversal of 71977951680 is 8615977917.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139487 + ... + 1200993.

Almost surely, 2^71977951680 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 71977951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121484696832).

71977951680 is an abundant number, since it is smaller than the sum of its proper divisors (170991441984).

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

71977951680 is a wasteful number, since it uses less digits than its factorization.

71977951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61603 (or 61593 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 60.

The spelling of 71977951680 in words is "seventy-one billion, nine hundred seventy-seven million, nine hundred fifty-one thousand, six hundred eighty".