368776396800 has 1080 divisors, whose sum is σ = 1561793705472. Its totient is φ = 81395712000.

The previous prime is 368776396789. The next prime is 368776396811. The reversal of 368776396800 is 8693677863.

It is an interprime number because it is at equal distance from previous prime (368776396789) and next prime (368776396811).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 799948570 + ... + 799949030.

Almost surely, 2^368776396800 is an apocalyptic number.

368776396800 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 368776396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780896852736).

368776396800 is an abundant number, since it is smaller than the sum of its proper divisors (1193017308672).

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

368776396800 is a wasteful number, since it uses less digits than its factorization.

368776396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 368776396800 in words is "three hundred sixty-eight billion, seven hundred seventy-six million, three hundred ninety-six thousand, eight hundred".