71674162560 has 1536 divisors, whose sum is σ = 343882506240. Its totient is φ = 13271040000.

The previous prime is 71674162559. The next prime is 71674162561. The reversal of 71674162560 is 6526147617.

71674162560 is a `hidden beast` number, since 7 + 1 + 6 + 74 + 16 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (71674162559) and next prime (71674162561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71674162561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178738360 + ... + 178738760.

It is an arithmetic number, because the mean of its divisors is an integer number (223881840).

Almost surely, 2^71674162560 is an apocalyptic number.

71674162560 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 71674162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171941253120).

71674162560 is an abundant number, since it is smaller than the sum of its proper divisors (272208343680).

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

71674162560 is a wasteful number, since it uses less digits than its factorization.

71674162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 71674162560 in words is "seventy-one billion, six hundred seventy-four million, one hundred sixty-two thousand, five hundred sixty".