70447663440 has 960 divisors, whose sum is σ = 322119383040. Its totient is φ = 13862430720.

The previous prime is 70447663439. The next prime is 70447663499. The reversal of 70447663440 is 4436674407.

70447663440 is a `hidden beast` number, since 7 + 0 + 4 + 4 + 7 + 6 + 634 + 4 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28439482 + ... + 28441958.

It is an arithmetic number, because the mean of its divisors is an integer number (335541024).

Almost surely, 2^70447663440 is an apocalyptic number.

70447663440 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 70447663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161059691520).

70447663440 is an abundant number, since it is smaller than the sum of its proper divisors (251671719600).

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

70447663440 is a wasteful number, since it uses less digits than its factorization.

70447663440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 70447663440 in words is "seventy billion, four hundred forty-seven million, six hundred sixty-three thousand, four hundred forty".