1970729437248 has 672 divisors, whose sum is σ = 6980194271232. Its totient is φ = 523069747200.

The previous prime is 1970729437241. The next prime is 1970729437301. The reversal of 1970729437248 is 8427349270791.

1970729437248 is a `hidden beast` number, since 1 + 9 + 70 + 7 + 294 + 37 + 248 = 666.

It is not an unprimeable number, because it can be changed into a prime (1970729437241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240592833 + ... + 240601023.

It is an arithmetic number, because the mean of its divisors is an integer number (10387193856).

Almost surely, 2^{1970729437248} is an apocalyptic number.

1970729437248 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 1970729437248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490097135616).

1970729437248 is an abundant number, since it is smaller than the sum of its proper divisors (5009464833984).

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

1970729437248 is a wasteful number, since it uses less digits than its factorization.

1970729437248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 1970729437248 in words is "one trillion, nine hundred seventy billion, seven hundred twenty-nine million, four hundred thirty-seven thousand, two hundred forty-eight".