4179628736640 has 2048 divisors, whose sum is σ = 18646474752000. Its totient is φ = 862829936640.

The previous prime is 4179628736617. The next prime is 4179628736663. The reversal of 4179628736640 is 466378269714.

It is a happy number.

4179628736640 is a `hidden beast` number, since 4 + 179 + 62 + 8 + 7 + 366 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4179628736617) and next prime (4179628736663).

It is a super-2 number, since 2×4179628736640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11028043971 + ... + 11028044349.

It is an arithmetic number, because the mean of its divisors is an integer number (9104724000).

Almost surely, 2^{4179628736640} is an apocalyptic number.

4179628736640 is a gapful number since it is divisible by the number (40) 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 4179628736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9323237376000).

4179628736640 is an abundant number, since it is smaller than the sum of its proper divisors (14466846015360).

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

4179628736640 is a wasteful number, since it uses less digits than its factorization.

4179628736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 4179628736640 in words is "four trillion, one hundred seventy-nine billion, six hundred twenty-eight million, seven hundred thirty-six thousand, six hundred forty".