70949514240 has 1056 divisors, whose sum is σ = 289697990400. Its totient is φ = 15872163840.

The previous prime is 70949514199. The next prime is 70949514289. The reversal of 70949514240 is 4241594907.

70949514240 is a `hidden beast` number, since 7 + 0 + 94 + 9 + 514 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 510428091 + ... + 510428229.

Almost surely, 2^70949514240 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 70949514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144848995200).

70949514240 is an abundant number, since it is smaller than the sum of its proper divisors (218748476160).

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

70949514240 is a wasteful number, since it uses less digits than its factorization.

70949514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 70949514240 in words is "seventy billion, nine hundred forty-nine million, five hundred fourteen thousand, two hundred forty".