1007072640 has 192 divisors, whose sum is σ = 3974499360. Its totient is φ = 230178816.

The previous prime is 1007072621. The next prime is 1007072701. The reversal of 1007072640 is 462707001.

1007072640 is a `hidden beast` number, since 10 + 0 + 7 + 0 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27832 + ... + 52808.

Almost surely, 2^1007072640 is an apocalyptic number.

1007072640 is a gapful number since it is divisible by the number (10) 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 1007072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987249680).

1007072640 is an abundant number, since it is smaller than the sum of its proper divisors (2967426720).

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

1007072640 is a wasteful number, since it uses less digits than its factorization.

1007072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25009 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1007072640 is about 31734.4078249461. The cubic root of 1007072640 is about 1002.3520103768.

Adding to 1007072640 its reverse (462707001), we get a palindrome (1469779641).

The spelling of 1007072640 in words is "one billion, seven million, seventy-two thousand, six hundred forty".