66962570429440 has 352 divisors, whose sum is σ = 184447458607104. Its totient is φ = 22850222653440.

The previous prime is 66962570429429. The next prime is 66962570429459. The reversal of 66962570429440 is 4492407526966.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8175135745 + ... + 8175143935.

It is an arithmetic number, because the mean of its divisors is an integer number (523998461952).

Almost surely, 2^{66962570429440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66962570429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92223729303552).

66962570429440 is an abundant number, since it is smaller than the sum of its proper divisors (117484888177664).

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

66962570429440 is a wasteful number, since it uses less digits than its factorization.

66962570429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 64.

The spelling of 66962570429440 in words is "sixty-six trillion, nine hundred sixty-two billion, five hundred seventy million, four hundred twenty-nine thousand, four hundred forty".