70045007760 has 960 divisors, whose sum is σ = 308158276608. Its totient is φ = 13853638656.

The previous prime is 70045007731. The next prime is 70045007761. The reversal of 70045007760 is 6770054007.

It is a super-2 number, since 2×70045007760² (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 not an unprimeable number, because it can be changed into a prime (70045007761) 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 191 ways as a sum of consecutive naturals, for example, 79868442 + ... + 79869318.

Almost surely, 2^70045007760 is an apocalyptic number.

70045007760 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 70045007760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154079138304).

70045007760 is an abundant number, since it is smaller than the sum of its proper divisors (238113268848).

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

70045007760 is a wasteful number, since it uses less digits than its factorization.

70045007760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 70045007760 in words is "seventy billion, forty-five million, seven thousand, seven hundred sixty".