70968441600 has 1512 divisors, whose sum is σ = 314149080672. Its totient is φ = 15527116800.

The previous prime is 70968441503. The next prime is 70968441601. The reversal of 70968441600 is 614486907.

70968441600 is a `hidden beast` number, since 70 + 96 + 84 + 416 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×70968441600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (70968441601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1339027174 + ... + 1339027226.

It is an arithmetic number, because the mean of its divisors is an integer number (207770556).

Almost surely, 2^70968441600 is an apocalyptic number.

70968441600 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 70968441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157074540336).

70968441600 is an abundant number, since it is smaller than the sum of its proper divisors (243180639072).

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

70968441600 is an equidigital number, since it uses as much as digits as its factorization.

70968441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 70968441600 in words is "seventy billion, nine hundred sixty-eight million, four hundred forty-one thousand, six hundred".