3640152517848 has 512 divisors, whose sum is σ = 13271272243200. Its totient is φ = 896371660800.

The previous prime is 3640152517829. The next prime is 3640152517853. The reversal of 3640152517848 is 8487152510463.

It is a happy number.

3640152517848 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 1 + 525 + 1 + 78 + 48 = 666.

It is a super-2 number, since 2×3640152517848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3640152517794 and 3640152517803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43184463 + ... + 43268673.

It is an arithmetic number, because the mean of its divisors is an integer number (25920453600).

Almost surely, 2^{3640152517848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640152517848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635636121600).

3640152517848 is an abundant number, since it is smaller than the sum of its proper divisors (9631119725352).

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

3640152517848 is a wasteful number, since it uses less digits than its factorization.

3640152517848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84380 (or 84370 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 3640152517848 in words is "three trillion, six hundred forty billion, one hundred fifty-two million, five hundred seventeen thousand, eight hundred forty-eight".