70020783792960 has 3584 divisors, whose sum is σ = 323397271830528. Its totient is φ = 12350631444480.

The previous prime is 70020783792941. The next prime is 70020783792979. The reversal of 70020783792960 is 6929738702007.

It is an interprime number because it is at equal distance from previous prime (70020783792941) and next prime (70020783792979).

It is a super-4 number, since 4×70020783792960⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 70020783792894 and 70020783792903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 153218345052 + ... + 153218345508.

It is an arithmetic number, because the mean of its divisors is an integer number (90233613792).

Almost surely, 2^{70020783792960} is an apocalyptic number.

70020783792960 is a gapful number since it is divisible by the number (70) 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 70020783792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161698635915264).

70020783792960 is an abundant number, since it is smaller than the sum of its proper divisors (253376488037568).

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

70020783792960 is a wasteful number, since it uses less digits than its factorization.

70020783792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 70020783792960 in words is "seventy trillion, twenty billion, seven hundred eighty-three million, seven hundred ninety-two thousand, nine hundred sixty".