35463536640 has 672 divisors, whose sum is σ = 145984325760. Its totient is φ = 8090025984.

The previous prime is 35463536629. The next prime is 35463536653. The reversal of 35463536640 is 4663536453.

35463536640 is a `hidden beast` number, since 3 + 5 + 4 + 635 + 3 + 6 + 6 + 4 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672706 + ... + 69673214.

It is an arithmetic number, because the mean of its divisors is an integer number (217238580).

Almost surely, 2^35463536640 is an apocalyptic number.

35463536640 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 35463536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72992162880).

35463536640 is an abundant number, since it is smaller than the sum of its proper divisors (110520789120).

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

35463536640 is an frugal number, since it uses more digits than its factorization.

35463536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 35463536640 in words is "thirty-five billion, four hundred sixty-three million, five hundred thirty-six thousand, six hundred forty".