70049020800 has 768 divisors, whose sum is σ = 265765847040. Its totient is φ = 16051200000.

The previous prime is 70049020763. The next prime is 70049020831. The reversal of 70049020800 is 802094007.

It is a super-3 number, since 3×70049020800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366748705 + ... + 366748895.

It is an arithmetic number, because the mean of its divisors is an integer number (346049280).

Almost surely, 2^70049020800 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 70049020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132882923520).

70049020800 is an abundant number, since it is smaller than the sum of its proper divisors (195716826240).

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

70049020800 is a wasteful number, since it uses less digits than its factorization.

70049020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 70049020800 in words is "seventy billion, forty-nine million, twenty thousand, eight hundred".