4307372640 has 240 divisors, whose sum is σ = 15326986752. Its totient is φ = 1139152896.

The previous prime is 4307372627. The next prime is 4307372653. The reversal of 4307372640 is 462737034.

It is a happy number.

4307372640 is a `hidden beast` number, since 4 + 3 + 0 + 7 + 3 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4307372627) and next prime (4307372653).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4307372595 and 4307372604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1644612 + ... + 1647228.

Almost surely, 2^4307372640 is an apocalyptic number.

4307372640 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 4307372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663493376).

4307372640 is an abundant number, since it is smaller than the sum of its proper divisors (11019614112).

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

4307372640 is a wasteful number, since it uses less digits than its factorization.

4307372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 4307372640 is about 65630.5770201664. The cubic root of 4307372640 is about 1627.0621727832.

The spelling of 4307372640 in words is "four billion, three hundred seven million, three hundred seventy-two thousand, six hundred forty".