70268200744896 has 1008 divisors, whose sum is σ = 255544020076800. Its totient is φ = 18069619138560.

The previous prime is 70268200744879. The next prime is 70268200744957. The reversal of 70268200744896 is 69844700286207.

70268200744896 is a `hidden beast` number, since 7 + 0 + 2 + 6 + 82 + 0 + 0 + 74 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28414151916 + ... + 28414154388.

Almost surely, 2^{70268200744896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70268200744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127772010038400).

70268200744896 is an abundant number, since it is smaller than the sum of its proper divisors (185275819331904).

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

70268200744896 is a wasteful number, since it uses less digits than its factorization.

70268200744896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 70268200744896 in words is "seventy trillion, two hundred sixty-eight billion, two hundred million, seven hundred forty-four thousand, eight hundred ninety-six".