81672587370 has 192 divisors, whose sum is σ = 244530524160. Its totient is φ = 18704649600.

The previous prime is 81672587341. The next prime is 81672587411. The reversal of 81672587370 is 7378527618.

81672587370 is a `hidden beast` number, since 8 + 16 + 7 + 258 + 7 + 370 = 666.

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, 6897355 + ... + 6909185.

It is an arithmetic number, because the mean of its divisors is an integer number (1273596480).

Almost surely, 2^81672587370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81672587370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122265262080).

81672587370 is an abundant number, since it is smaller than the sum of its proper divisors (162857936790).

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

81672587370 is a wasteful number, since it uses less digits than its factorization.

81672587370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12241 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 81672587370 in words is "eighty-one billion, six hundred seventy-two million, five hundred eighty-seven thousand, three hundred seventy".