369998254080 has 2496 divisors, whose sum is σ = 1763154032640. Its totient is φ = 72236924928.

The previous prime is 369998254039. The next prime is 369998254117. The reversal of 369998254080 is 80452899963.

369998254080 is a `hidden beast` number, since 3 + 6 + 9 + 9 + 9 + 8 + 2 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 369998253999 and 369998254017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8604610539 + ... + 8604610581.

It is an arithmetic number, because the mean of its divisors is an integer number (706391840).

Almost surely, 2^369998254080 is an apocalyptic number.

369998254080 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 369998254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881577016320).

369998254080 is an abundant number, since it is smaller than the sum of its proper divisors (1393155778560).

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

369998254080 is a wasteful number, since it uses less digits than its factorization.

369998254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 369998254080 in words is "three hundred sixty-nine billion, nine hundred ninety-eight million, two hundred fifty-four thousand, eighty".