36906455040 has 1248 divisors, whose sum is σ = 158129024256. Its totient is φ = 7266631680.

The previous prime is 36906455039. The next prime is 36906455041. The reversal of 36906455040 is 4055460963.

It is an interprime number because it is at equal distance from previous prime (36906455039) and next prime (36906455041).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36906454983 and 36906455001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36906455041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 900157420 + ... + 900157460.

Almost surely, 2^36906455040 is an apocalyptic number.

36906455040 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 36906455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79064512128).

36906455040 is an abundant number, since it is smaller than the sum of its proper divisors (121222569216).

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

36906455040 is a wasteful number, since it uses less digits than its factorization.

36906455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 36906455040 in words is "thirty-six billion, nine hundred six million, four hundred fifty-five thousand, forty".