36479654400 has 480 divisors, whose sum is σ = 139058206848. Its totient is φ = 8257536000.

The previous prime is 36479654399. The next prime is 36479654401. The reversal of 36479654400 is 445697463.

It is an interprime number because it is at equal distance from previous prime (36479654399) and next prime (36479654401).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36479654400.

It is not an unprimeable number, because it can be changed into a prime (36479654401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30373800 + ... + 30375000.

Almost surely, 2^36479654400 is an apocalyptic number.

36479654400 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 36479654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69529103424).

36479654400 is an abundant number, since it is smaller than the sum of its proper divisors (102578552448).

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

36479654400 is a wasteful number, since it uses less digits than its factorization.

36479654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 36479654400 in words is "thirty-six billion, four hundred seventy-nine million, six hundred fifty-four thousand, four hundred".