36134340480 has 864 divisors, whose sum is σ = 154536468840. Its totient is φ = 7755890688.

The previous prime is 36134340469. The next prime is 36134340493. The reversal of 36134340480 is 8404343163.

It is a happy number.

36134340480 is a `hidden beast` number, since 3 + 6 + 134 + 3 + 40 + 480 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 81567139 + ... + 81567581.

Almost surely, 2^36134340480 is an apocalyptic number.

36134340480 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 36134340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77268234420).

36134340480 is an abundant number, since it is smaller than the sum of its proper divisors (118402128360).

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

36134340480 is a wasteful number, since it uses less digits than its factorization.

36134340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 36134340480 in words is "thirty-six billion, one hundred thirty-four million, three hundred forty thousand, four hundred eighty".