70427605248 has 1512 divisors, whose sum is σ = 294363961920. Its totient is φ = 16303472640.

The previous prime is 70427605247. The next prime is 70427605291. The reversal of 70427605248 is 84250672407.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

It is not an unprimeable number, because it can be changed into a prime (70427605247) 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 167 ways as a sum of consecutive naturals, for example, 2428538098 + ... + 2428538126.

It is an arithmetic number, because the mean of its divisors is an integer number (194685160).

Almost surely, 2^70427605248 is an apocalyptic number.

70427605248 is a gapful number since it is divisible by the number (78) 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 70427605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147181980960).

70427605248 is an abundant number, since it is smaller than the sum of its proper divisors (223936356672).

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

70427605248 is a wasteful number, since it uses less digits than its factorization.

70427605248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 70427605248 in words is "seventy billion, four hundred twenty-seven million, six hundred five thousand, two hundred forty-eight".