70973276351328 has 672 divisors, whose sum is σ = 237100127828256. Its totient is φ = 20753442791424.

The previous prime is 70973276351273. The next prime is 70973276351387. The reversal of 70973276351328 is 82315367237907.

70973276351328 is a `hidden beast` number, since 7 + 0 + 9 + 7 + 3 + 276 + 35 + 1 + 328 = 666.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 482419476 + ... + 482566572.

It is an arithmetic number, because the mean of its divisors is an integer number (352827571173).

Almost surely, 2^{70973276351328} is an apocalyptic number.

70973276351328 is a gapful number since it is divisible by the number (78) 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 70973276351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118550063914128).

70973276351328 is an abundant number, since it is smaller than the sum of its proper divisors (166126851476928).

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

70973276351328 is a wasteful number, since it uses less digits than its factorization.

70973276351328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147218 (or 147195 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 70973276351328 in words is "seventy trillion, nine hundred seventy-three billion, two hundred seventy-six million, three hundred fifty-one thousand, three hundred twenty-eight".