36491558400 has 960 divisors, whose sum is σ = 151613510400. Its totient is φ = 8515584000.

The previous prime is 36491558359. The next prime is 36491558407. The reversal of 36491558400 is 485519463.

36491558400 is a `hidden beast` number, since 3 + 6 + 4 + 91 + 558 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×36491558400² (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 not an unprimeable number, because it can be changed into a prime (36491558407) 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, 110246235 + ... + 110246565.

It is an arithmetic number, because the mean of its divisors is an integer number (157930740).

Almost surely, 2^36491558400 is an apocalyptic number.

36491558400 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 36491558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75806755200).

36491558400 is an abundant number, since it is smaller than the sum of its proper divisors (115121952000).

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

36491558400 is a wasteful number, since it uses less digits than its factorization.

36491558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 36491558400 in words is "thirty-six billion, four hundred ninety-one million, five hundred fifty-eight thousand, four hundred".