67500475764480 has 864 divisors, whose sum is σ = 278465063804928. Its totient is φ = 14904351129600.

The previous prime is 67500475764437. The next prime is 67500475764481. The reversal of 67500475764480 is 8446757400576.

67500475764480 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 0 + 47 + 57 + 64 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67500475764481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66276057 + ... + 67286823.

It is an arithmetic number, because the mean of its divisors is an integer number (322297527552).

Almost surely, 2^{67500475764480} is an apocalyptic number.

67500475764480 is a gapful number since it is divisible by the number (60) 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 67500475764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139232531902464).

67500475764480 is an abundant number, since it is smaller than the sum of its proper divisors (210964588040448).

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

67500475764480 is a wasteful number, since it uses less digits than its factorization.

67500475764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010853 (or 1010836 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 67500475764480 in words is "sixty-seven trillion, five hundred billion, four hundred seventy-five million, seven hundred sixty-four thousand, four hundred eighty".