70741188000 has 1152 divisors, whose sum is σ = 306682661376. Its totient is φ = 15676416000.

The previous prime is 70741187981. The next prime is 70741188013. The reversal of 70741188000 is 88114707.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251747860 + ... + 251748140.

It is an arithmetic number, because the mean of its divisors is an integer number (266217588).

Almost surely, 2^70741188000 is an apocalyptic number.

70741188000 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 70741188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153341330688).

70741188000 is an abundant number, since it is smaller than the sum of its proper divisors (235941473376).

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

70741188000 is a wasteful number, since it uses less digits than its factorization.

70741188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 70741188000 in words is "seventy billion, seven hundred forty-one million, one hundred eighty-eight thousand".