1970006976 has 252 divisors, whose sum is σ = 6619109952. Its totient is φ = 558544896.

The previous prime is 1970006957. The next prime is 1970006989. The reversal of 1970006976 is 6796000791.

It is a tau number, because it is divible by the number of its divisors (252).

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, 6293796 + ... + 6294108.

Almost surely, 2^1970006976 is an apocalyptic number.

1970006976 is a gapful number since it is divisible by the number (16) 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 1970006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309554976).

1970006976 is an abundant number, since it is smaller than the sum of its proper divisors (4649102976).

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

1970006976 is a wasteful number, since it uses less digits than its factorization.

1970006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1970006976 is about 44384.7606279453. The cubic root of 1970006976 is about 1253.5911611823.

The spelling of 1970006976 in words is "one billion, nine hundred seventy million, six thousand, nine hundred seventy-six".