35490127680 has 672 divisors, whose sum is σ = 146355206400. Its totient is φ = 7884656640.

The previous prime is 35490127679. The next prime is 35490127697. The reversal of 35490127680 is 8672109453.

35490127680 is a `hidden beast` number, since 3 + 5 + 490 + 12 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 36549595 + ... + 36550565.

It is a 1-persistent number, because it is pandigital, but 2⋅35490127680 = 70980255360 is not.

Almost surely, 2^35490127680 is an apocalyptic number.

35490127680 is a gapful number since it is divisible by the number (30) 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 35490127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73177603200).

35490127680 is an abundant number, since it is smaller than the sum of its proper divisors (110865078720).

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

35490127680 is a wasteful number, since it uses less digits than its factorization.

35490127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 35490127680 in words is "thirty-five billion, four hundred ninety million, one hundred twenty-seven thousand, six hundred eighty".