4672736640 has 1024 divisors, whose sum is σ = 20398694400. Its totient is φ = 995328000.

The previous prime is 4672736639. The next prime is 4672736641. The reversal of 4672736640 is 466372764.

It is an interprime number because it is at equal distance from previous prime (4672736639) and next prime (4672736641).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672736641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76602210 + ... + 76602270.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^4672736640 is an apocalyptic number.

4672736640 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 4672736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199347200).

4672736640 is an abundant number, since it is smaller than the sum of its proper divisors (15725957760).

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

4672736640 is a wasteful number, since it uses less digits than its factorization.

4672736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 4672736640 is about 68357.4183245681. The cubic root of 4672736640 is about 1671.8235354770.

The spelling of 4672736640 in words is "four billion, six hundred seventy-two million, seven hundred thirty-six thousand, six hundred forty".