70541752320 has 576 divisors, whose sum is σ = 266444156160. Its totient is φ = 17156800512.

The previous prime is 70541752301. The next prime is 70541752321. The reversal of 70541752320 is 2325714507.

70541752320 is a `hidden beast` number, since 7 + 0 + 5 + 417 + 5 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×70541752320² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70541752321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116213457 + ... + 116214063.

It is an arithmetic number, because the mean of its divisors is an integer number (462576660).

Almost surely, 2^70541752320 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 70541752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133222078080).

70541752320 is an abundant number, since it is smaller than the sum of its proper divisors (195902403840).

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

70541752320 is a wasteful number, since it uses less digits than its factorization.

70541752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 70541752320 in words is "seventy billion, five hundred forty-one million, seven hundred fifty-two thousand, three hundred twenty".