66987970560 has 468 divisors, whose sum is σ = 270142685748. Its totient is φ = 15309471744.

The previous prime is 66987970547. The next prime is 66987970573. The reversal of 66987970560 is 6507978966.

66987970560 is a `hidden beast` number, since 6 + 69 + 8 + 7 + 9 + 7 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (66987970547) and next prime (66987970573).

It can be written as a sum of positive squares in 2 ways, for example, as 40102465536 + 26885505024 = 200256^2 + 163968^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9027972 + ... + 9035388.

It is an arithmetic number, because the mean of its divisors is an integer number (577227961).

Almost surely, 2^66987970560 is an apocalyptic number.

66987970560 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 66987970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135071342874).

66987970560 is an abundant number, since it is smaller than the sum of its proper divisors (203154715188).

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

66987970560 is a wasteful number, since it uses less digits than its factorization.

66987970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 66987970560 in words is "sixty-six billion, nine hundred eighty-seven million, nine hundred seventy thousand, five hundred sixty".