1010703631680 has 448 divisors, whose sum is σ = 3732905594880. Its totient is φ = 256947406848.

The previous prime is 1010703631669. The next prime is 1010703631681. The reversal of 1010703631680 is 861363070101.

1010703631680 is a `hidden beast` number, since 1 + 0 + 10 + 7 + 0 + 3 + 631 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1010703631680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010703631681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60998757 + ... + 61015323.

It is an arithmetic number, because the mean of its divisors is an integer number (8332378560).

Almost surely, 2^{1010703631680} is an apocalyptic number.

1010703631680 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 1010703631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866452797440).

1010703631680 is an abundant number, since it is smaller than the sum of its proper divisors (2722201963200).

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

1010703631680 is a wasteful number, since it uses less digits than its factorization.

1010703631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16923 (or 16907 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1010703631680 in words is "one trillion, ten billion, seven hundred three million, six hundred thirty-one thousand, six hundred eighty".