36251664540 has 384 divisors, whose sum is σ = 129939683328. Its totient is φ = 7347732480.

The previous prime is 36251664539. The next prime is 36251664541. The reversal of 36251664540 is 4546615263.

It is an interprime number because it is at equal distance from previous prime (36251664539) and next prime (36251664541).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36251664492 and 36251664501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36251664541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14997412 + ... + 14999828.

It is an arithmetic number, because the mean of its divisors is an integer number (338384592).

Almost surely, 2^36251664540 is an apocalyptic number.

36251664540 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 36251664540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64969841664).

36251664540 is an abundant number, since it is smaller than the sum of its proper divisors (93688018788).

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

36251664540 is a wasteful number, since it uses less digits than its factorization.

36251664540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 36251664540 in words is "thirty-six billion, two hundred fifty-one million, six hundred sixty-four thousand, five hundred forty".