10070661363840 has 3072 divisors, whose sum is σ = 47578967654400. Its totient is φ = 1974252994560.

The previous prime is 10070661363787. The next prime is 10070661363871. The reversal of 10070661363840 is 4836316607001.

10070661363840 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 0 + 6 + 6 + 1 + 3 + 638 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16321979212 + ... + 16321979828.

It is an arithmetic number, because the mean of its divisors is an integer number (15487945200).

Almost surely, 2^{10070661363840} is an apocalyptic number.

10070661363840 is a gapful number since it is divisible by the number (10) 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 10070661363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23789483827200).

10070661363840 is an abundant number, since it is smaller than the sum of its proper divisors (37508306290560).

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

10070661363840 is a wasteful number, since it uses less digits than its factorization.

10070661363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10070661363840 in words is "ten trillion, seventy billion, six hundred sixty-one million, three hundred sixty-three thousand, eight hundred forty".