70848960000 has 800 divisors, whose sum is σ = 290643564288. Its totient is φ = 14929920000.

The previous prime is 70848959999. The next prime is 70848960037. The reversal of 70848960000 is 6984807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87359595 + ... + 87360405.

Almost surely, 2^70848960000 is an apocalyptic number.

70848960000 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 70848960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145321782144).

70848960000 is an abundant number, since it is smaller than the sum of its proper divisors (219794604288).

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

70848960000 is an equidigital number, since it uses as much as digits as its factorization.

70848960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 70848960000 in words is "seventy billion, eight hundred forty-eight million, nine hundred sixty thousand".