10700413632 has 252 divisors, whose sum is σ = 33744789000. Its totient is φ = 3354753024.

The previous prime is 10700413601. The next prime is 10700413643. The reversal of 10700413632 is 23631400701.

10700413632 is a `hidden beast` number, since 10 + 7 + 0 + 0 + 4 + 13 + 632 = 666.

It is a super-2 number, since 2×10700413632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10700413596 and 10700413605.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7137619 + ... + 7139117.

Almost surely, 2^10700413632 is an apocalyptic number.

10700413632 is a gapful number since it is divisible by the number (12) 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 10700413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872394500).

10700413632 is an abundant number, since it is smaller than the sum of its proper divisors (23044375368).

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

10700413632 is an frugal number, since it uses more digits than its factorization.

10700413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10700413632 in words is "ten billion, seven hundred million, four hundred thirteen thousand, six hundred thirty-two".