35674966656 has 1152 divisors, whose sum is σ = 137861568000. Its totient is φ = 8778792960.

The previous prime is 35674966583. The next prime is 35674966709. The reversal of 35674966656 is 65666947653.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (146966400) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 35674966593 and 35674966602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 964188270 + ... + 964188306.

It is an arithmetic number, because the mean of its divisors is an integer number (119671500).

Almost surely, 2^35674966656 is an apocalyptic number.

35674966656 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 35674966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68930784000).

35674966656 is an abundant number, since it is smaller than the sum of its proper divisors (102186601344).

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

35674966656 is a wasteful number, since it uses less digits than its factorization.

35674966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 35674966656 in words is "thirty-five billion, six hundred seventy-four million, nine hundred sixty-six thousand, six hundred fifty-six".