36769540500 has 576 divisors, whose sum is σ = 145979398656. Its totient is φ = 7631712000.

The previous prime is 36769540471. The next prime is 36769540513. The reversal of 36769540500 is 504596763.

36769540500 is a `hidden beast` number, since 36 + 7 + 69 + 54 + 0 + 500 = 666.

It is a super-2 number, since 2×36769540500² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 41926062 + ... + 41926938.

It is an arithmetic number, because the mean of its divisors is an integer number (253436456).

Almost surely, 2^36769540500 is an apocalyptic number.

36769540500 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 36769540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72989699328).

36769540500 is an abundant number, since it is smaller than the sum of its proper divisors (109209858156).

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

36769540500 is a wasteful number, since it uses less digits than its factorization.

36769540500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 36769540500 in words is "thirty-six billion, seven hundred sixty-nine million, five hundred forty thousand, five hundred".