35792813661696 has 2240 divisors, whose sum is σ = 142763987520000. Its totient is φ = 8695519838208.

The previous prime is 35792813661617. The next prime is 35792813661767. The reversal of 35792813661696 is 69616631829753.

35792813661696 is a `hidden beast` number, since 3 + 5 + 7 + 92 + 81 + 366 + 16 + 96 = 666.

It is a super-2 number, since 2×35792813661696² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23877793555 + ... + 23877795053.

It is an arithmetic number, because the mean of its divisors is an integer number (63733923000).

Almost surely, 2^{35792813661696} is an apocalyptic number.

35792813661696 is a gapful number since it is divisible by the number (36) 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 35792813661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71381993760000).

35792813661696 is an abundant number, since it is smaller than the sum of its proper divisors (106971173858304).

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

35792813661696 is a wasteful number, since it uses less digits than its factorization.

35792813661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1580 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 35792813661696 in words is "thirty-five trillion, seven hundred ninety-two billion, eight hundred thirteen million, six hundred sixty-one thousand, six hundred ninety-six".