10742614896 has 240 divisors, whose sum is σ = 31917290496. Its totient is φ = 3094350336.

The previous prime is 10742614889. The next prime is 10742614931. The reversal of 10742614896 is 69841624701.

It is a super-2 number, since 2×10742614896² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23201961 + ... + 23202423.

Almost surely, 2^10742614896 is an apocalyptic number.

10742614896 is a gapful number since it is divisible by the number (16) 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 10742614896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958645248).

10742614896 is an abundant number, since it is smaller than the sum of its proper divisors (21174675600).

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

10742614896 is a wasteful number, since it uses less digits than its factorization.

10742614896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10742614896 in words is "ten billion, seven hundred forty-two million, six hundred fourteen thousand, eight hundred ninety-six".