36398868480 has 1152 divisors, whose sum is σ = 151076016000. Its totient is φ = 8281128960.

The previous prime is 36398868479. The next prime is 36398868491. The reversal of 36398868480 is 8486889363.

36398868480 is a `hidden beast` number, since 3 + 6 + 3 + 98 + 8 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 887777260 + ... + 887777300.

It is an arithmetic number, because the mean of its divisors is an integer number (131142375).

Almost surely, 2^36398868480 is an apocalyptic number.

36398868480 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 36398868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75538008000).

36398868480 is an abundant number, since it is smaller than the sum of its proper divisors (114677147520).

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

36398868480 is a wasteful number, since it uses less digits than its factorization.

36398868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 36398868480 in words is "thirty-six billion, three hundred ninety-eight million, eight hundred sixty-eight thousand, four hundred eighty".