36735493513950 has 1152 divisors, whose sum is σ = 136969833369600. Its totient is φ = 7063237843200.

The previous prime is 36735493513949. The next prime is 36735493513987. The reversal of 36735493513950 is 5931539453763.

36735493513950 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 5 + 493 + 5 + 139 + 5 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 934178989 + ... + 934218311.

It is an arithmetic number, because the mean of its divisors is an integer number (118897424800).

Almost surely, 2^{36735493513950} is an apocalyptic number.

36735493513950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36735493513950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68484916684800).

36735493513950 is an abundant number, since it is smaller than the sum of its proper divisors (100234339855650).

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

36735493513950 is a wasteful number, since it uses less digits than its factorization.

36735493513950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39435 (or 39413 counting only the distinct ones).

The product of its (nonzero) digits is 137781000, while the sum is 63.

The spelling of 36735493513950 in words is "thirty-six trillion, seven hundred thirty-five billion, four hundred ninety-three million, five hundred thirteen thousand, nine hundred fifty".