7407620640 has 384 divisors, whose sum is σ = 29750353920. Its totient is φ = 1686334464.

The previous prime is 7407620639. The next prime is 7407620651. The reversal of 7407620640 is 460267047.

7407620640 is a `hidden beast` number, since 7 + 4 + 0 + 7 + 6 + 2 + 0 + 640 = 666.

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 = 7407620595 and 7407620604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14726629 + ... + 14727131.

It is an arithmetic number, because the mean of its divisors is an integer number (77474880).

Almost surely, 2^7407620640 is an apocalyptic number.

7407620640 is a gapful number since it is divisible by the number (70) 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 7407620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875176960).

7407620640 is an abundant number, since it is smaller than the sum of its proper divisors (22342733280).

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

7407620640 is a wasteful number, since it uses less digits than its factorization.

7407620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7407620640 is about 86067.5353428922. The cubic root of 7407620640 is about 1949.3638635056.

Adding to 7407620640 its reverse (460267047), we get a palindrome (7867887687).

The spelling of 7407620640 in words is "seven billion, four hundred seven million, six hundred twenty thousand, six hundred forty".