7951640400 has 840 divisors, whose sum is σ = 32569965984. Its totient is φ = 1847577600.

The previous prime is 7951640393. The next prime is 7951640407. The reversal of 7951640400 is 40461597.

7951640400 is a `hidden beast` number, since 7 + 9 + 5 + 1 + 640 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7951640393) and next prime (7951640407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951640407) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 118681167 + ... + 118681233.

Almost surely, 2^7951640400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7951640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284982992).

7951640400 is an abundant number, since it is smaller than the sum of its proper divisors (24618325584).

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

7951640400 is a wasteful number, since it uses less digits than its factorization.

7951640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7951640400 is about 89171.9709325750. The cubic root of 7951640400 is about 1995.9618856368.

The spelling of 7951640400 in words is "seven billion, nine hundred fifty-one million, six hundred forty thousand, four hundred".