62672732640 has 864 divisors, whose sum is σ = 262386843264. Its totient is φ = 14082647040.

The previous prime is 62672732621. The next prime is 62672732651. The reversal of 62672732640 is 4623727626.

62672732640 is a `hidden beast` number, since 6 + 267 + 27 + 326 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127642795 + ... + 127643285.

It is an arithmetic number, because the mean of its divisors is an integer number (303688476).

Almost surely, 2^62672732640 is an apocalyptic number.

62672732640 is a gapful number since it is divisible by the number (60) 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 62672732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131193421632).

62672732640 is an abundant number, since it is smaller than the sum of its proper divisors (199714110624).

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

62672732640 is a wasteful number, since it uses less digits than its factorization.

62672732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 575 counting only the distinct ones).

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

The spelling of 62672732640 in words is "sixty-two billion, six hundred seventy-two million, seven hundred thirty-two thousand, six hundred forty".