70820066017440 has 1152 divisors, whose sum is σ = 260958783601152. Its totient is φ = 17426939904000.

The previous prime is 70820066017417. The next prime is 70820066017453. The reversal of 70820066017440 is 4471066002807.

70820066017440 is a `hidden beast` number, since 70 + 82 + 0 + 0 + 6 + 60 + 1 + 7 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200623416304 + ... + 200623416656.

It is an arithmetic number, because the mean of its divisors is an integer number (226526721876).

Almost surely, 2^{70820066017440} 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 70820066017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130479391800576).

70820066017440 is an abundant number, since it is smaller than the sum of its proper divisors (190138717583712).

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

70820066017440 is a wasteful number, since it uses less digits than its factorization.

70820066017440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 70820066017440 in words is "seventy trillion, eight hundred twenty billion, sixty-six million, seventeen thousand, four hundred forty".