33478091640 has 384 divisors, whose sum is σ = 134007091200. Its totient is φ = 7404929280.

The previous prime is 33478091639. The next prime is 33478091657. The reversal of 33478091640 is 4619087433.

33478091640 is a `hidden beast` number, since 33 + 478 + 0 + 91 + 64 + 0 = 666.

It is a super-2 number, since 2×33478091640² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1630317 + ... + 1650723.

It is an arithmetic number, because the mean of its divisors is an integer number (348976800).

Almost surely, 2^33478091640 is an apocalyptic number.

33478091640 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 33478091640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67003545600).

33478091640 is an abundant number, since it is smaller than the sum of its proper divisors (100528999560).

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

33478091640 is a wasteful number, since it uses less digits than its factorization.

33478091640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20472 (or 20455 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 33478091640 in words is "thirty-three billion, four hundred seventy-eight million, ninety-one thousand, six hundred forty".