66762178560 has 1152 divisors, whose sum is σ = 301988736000. Its totient is φ = 13872660480.

The previous prime is 66762178517. The next prime is 66762178597. The reversal of 66762178560 is 6587126766.

66762178560 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 2 + 1 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66762178497 and 66762178506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6069288955 + ... + 6069288965.

It is an arithmetic number, because the mean of its divisors is an integer number (262143000).

Almost surely, 2^66762178560 is an apocalyptic number.

66762178560 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 66762178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994368000).

66762178560 is an abundant number, since it is smaller than the sum of its proper divisors (235226557440).

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

66762178560 is an frugal number, since it uses more digits than its factorization.

66762178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 66762178560 in words is "sixty-six billion, seven hundred sixty-two million, one hundred seventy-eight thousand, five hundred sixty".