70765543200940 has 384 divisors, whose sum is σ = 187120202734080. Its totient is φ = 21918803558400.

The previous prime is 70765543200857. The next prime is 70765543200943. The reversal of 70765543200940 is 4900234556707.

It is a happy number.

It is a super-2 number, since 2×70765543200940² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70765543200943) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 10662275302 + ... + 10662281938.

It is an arithmetic number, because the mean of its divisors is an integer number (487292194620).

Almost surely, 2^{70765543200940} is an apocalyptic number.

70765543200940 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 70765543200940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93560101367040).

70765543200940 is an abundant number, since it is smaller than the sum of its proper divisors (116354659533140).

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

70765543200940 is a wasteful number, since it uses less digits than its factorization.

70765543200940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 70765543200940 in words is "seventy trillion, seven hundred sixty-five billion, five hundred forty-three million, two hundred thousand, nine hundred forty".