36787240000 has 315 divisors, whose sum is σ = 106893730713. Its totient is φ = 12520704000.

The previous prime is 36787239971. The next prime is 36787240001. The reversal of 36787240000 is 4278763.

The square root of 36787240000 is 191800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 25418562624 + 11368677376 = 159432^2 + 106624^2 .

It is not an unprimeable number, because it can be changed into a prime (36787240001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 268519932 + ... + 268520068.

Almost surely, 2^36787240000 is an apocalyptic number.

36787240000 is the 191800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36787240000

36787240000 is an abundant number, since it is smaller than the sum of its proper divisors (70106490713).

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

36787240000 is an frugal number, since it uses more digits than its factorization.

36787240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 36787240000 in words is "thirty-six billion, seven hundred eighty-seven million, two hundred forty thousand".