1970645459328 has 1152 divisors, whose sum is σ = 7466292288000. Its totient is φ = 512744214528.

The previous prime is 1970645459317. The next prime is 1970645459333. The reversal of 1970645459328 is 8239545460791.

1970645459328 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 64 + 545 + 9 + 3 + 28 = 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1565245963 + ... + 1565247221.

It is an arithmetic number, because the mean of its divisors is an integer number (6481156500).

It is a 1-persistent number, because it is pandigital, but 2⋅1970645459328 = 3941290918656 is not.

Almost surely, 2^{1970645459328} is an apocalyptic number.

1970645459328 is a gapful number since it is divisible by the number (18) 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 1970645459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733146144000).

1970645459328 is an abundant number, since it is smaller than the sum of its proper divisors (5495646828672).

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

1970645459328 is a wasteful number, since it uses less digits than its factorization.

1970645459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1970645459328 in words is "one trillion, nine hundred seventy billion, six hundred forty-five million, four hundred fifty-nine thousand, three hundred twenty-eight".