71377044480 has 880 divisors, whose sum is σ = 305308903680. Its totient is φ = 15590817792.

The previous prime is 71377044467. The next prime is 71377044491. The reversal of 71377044480 is 8444077317.

71377044480 is a `hidden beast` number, since 7 + 137 + 70 + 4 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66769386 + ... + 66770454.

It is an arithmetic number, because the mean of its divisors is an integer number (346941936).

Almost surely, 2^71377044480 is an apocalyptic number.

71377044480 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 71377044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152654451840).

71377044480 is an abundant number, since it is smaller than the sum of its proper divisors (233931859200).

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

71377044480 is a wasteful number, since it uses less digits than its factorization.

71377044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 71377044480 in words is "seventy-one billion, three hundred seventy-seven million, forty-four thousand, four hundred eighty".