363051780000 has 1920 divisors, whose sum is σ = 1587091968000. Its totient is φ = 72027648000.

The previous prime is 363051779963. The next prime is 363051780001. The reversal of 363051780000 is 87150363.

It is a happy number.

It is a super-2 number, since 2×363051780000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (363051780001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6153419971 + ... + 6153420029.

It is an arithmetic number, because the mean of its divisors is an integer number (826610400).

Almost surely, 2^363051780000 is an apocalyptic number.

363051780000 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 363051780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793545984000).

363051780000 is an abundant number, since it is smaller than the sum of its proper divisors (1224040188000).

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

363051780000 is a wasteful number, since it uses less digits than its factorization.

363051780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 363051780000 in words is "three hundred sixty-three billion, fifty-one million, seven hundred eighty thousand".