2696499666432 has 960 divisors, whose sum is σ = 9487093144320. Its totient is φ = 749614694400.

The previous prime is 2696499666409. The next prime is 2696499666433. The reversal of 2696499666432 is 2346669946962.

It is a super-2 number, since 2×2696499666432² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696499666433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8146524507 + ... + 8146524837.

It is an arithmetic number, because the mean of its divisors is an integer number (9882388692).

Almost surely, 2^{2696499666432} is an apocalyptic number.

2696499666432 is a gapful number since it is divisible by the number (22) 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 2696499666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743546572160).

2696499666432 is an abundant number, since it is smaller than the sum of its proper divisors (6790593477888).

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

2696499666432 is a wasteful number, since it uses less digits than its factorization.

2696499666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 677 counting only the distinct ones).

The product of its digits is 1088391168, while the sum is 72.

The spelling of 2696499666432 in words is "two trillion, six hundred ninety-six billion, four hundred ninety-nine million, six hundred sixty-six thousand, four hundred thirty-two".